Total Gadha -Time and Work

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New Batches at TathaGat Delhi! Display replies flat, with oldest first Time and Work by Sindhoor Grandhi - Thursday, 9 July 2009, 01:59 PM

When we started TG.C om, we were clear that TG would write about quant and I about business schools (India and Abroad). And who would write about verbal? No clue. The admission process, the happenings at business schools, interviews and group discussions used to excite me more than anything else in C AT arena. But as I moved closer to digging more information about business schools, I realized that Indian business schools do not have a very transparent admissions process. As far as learning goes, I started feeling the stagnation. I was not seeing much growth in that area and I did not want to move to the GMAT arena when I had yet not explored the Indian exams to their full potential. Back then, my love for language was not at its peak but I thought verbal was where I could be. I do not know when I decided to step into C AT Verbal Forum but I just took the step. As I started working in the C AT Verbal Forum, I started connecting with students on both personal and professional level. Today, if I want to count how many thankyous TG and I have received in these two years, I think I would fail. From Indian B School Maven, I have become TotalGadha.C om's verbal instructor and International B School Maven. It has been a long journey and I can only smile when I look back today. TotalGadha.C om is slowly becoming everybody's website. More than anybody else, our students are becoming our strongest support. So far you have seen student contributions in the form of C AT articles, you have seen contributions in our C BT C lub , and you have seen contributions in the form of blogs. Today we present you a contribution from our GMAT blog. Sindhoor has contributed an article on 'How to prepare for GMAT Verbal Section' before as well but this time we wanted to give him a bigger exposure. TG has really grinded him in solving loads of questions and he has been continuously working on the article from past many days. Don't forget to say thank you to him.

- Dagny

Problems on Time and Work are a common feature in most of the standard MBA exams. If you are well versed with the basics and have practised these problems during your preparation, they give you an easy opportunity to score and also save time. Here, I will try and give you the basic fundas with the help of examples. Let us start with a very basic problem: Problem 1: A takes 5 days to complete a piece of work and B takes 15 days to complete a piece of work. In how many days can A and B complete the work if they work together? Standard Solution: Let us consider Work to be 1 unit. So if W = 1 Unit and A takes 5 days to complete the work then in 1 day A completes 1/5th of the work. Similarly B completes 1/15th of the work. If they work together, in one day A and B can complete (1/5 + 1/15 = 4/15) of the work. So to complete 1 unit of work they will take 15/4 days. New method: Let us assume W = 15 units, which is the LCM of 5 and 15. Given that total time taken for A to complete 15 units of work = 5 days --> A’s 1 day work = 15/5 = 3 units Given that total time taken for B to complete 15 units of work = 15 days --> B’s 1 day work = 15/15 = 1 unit -->(A + B)’s 1 day work = 3 + 1 = 4 units -->15 units of work can be done in 15/4 days. Many solve Time and Work problems by assuming work as 1 unit (first method) but I feel it is faster to solve the problems by assuming work to be of multiple units (second method). This would be more evident when we solve problems which are little more complex than the above one. Problem 2: X can do a work in 15 days. After working for 3 days he is joined by Y. If they complete the remaining work in 3 more days, in how many days can Y alone complete the work? Solution: Assume W = 15 units. (Note: You can assume work to be any number of units but it is better to take the LCM of all the numbers involved in the problem so that you can avoid fractions) X can do 15 units of work in 15 days -->X can do 1 unit of work in 1 day (Note: If I had assumed work as 13 units for example then X’s 1 day work would be 13/15, which is a fraction and hence I avoided it by taking work as 15 units which is easily divisible by 15 and 3) totalgadha.com/mod/forum/discuss.php?d=5551

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Since X worked for 6 days, total work done by X = 6 days × 1 unit/day = 6 units. Units of work remaining = 15 – 6 = 9 units. All the remaining units of work have been completed by Y in 3 days -->Y’s 1 day work = 9/3 = 3 units. If Y can complete 3 units of work per day then it would take 5 days to complete 15 units of work. So Y takes 5 days to complete the work. Problem 3: A, B and C can do a piece of work in 15 days. After all the three worked for 2 days, A left. B and C worked for 10 more days and B left. C worked for another 40 days and completed the work. In how many days can A alone complete the work if C can complete it in 75 days? Solution: Assume the total work to be 600 units. (LCM of all the numbers) Then C’s 1 day work = 8 units. -->(A + B + C)’s 1 day work = 40 units. A, B, C work together in the first 2 days -->Work done in the first 2 days = 40 × 2 = 80 units C alone works during the last 40 days -->Work done in the last 40 days = 40 × 8 = 320 units Remaining work = 600 – (320 + 80) = 200 units This work is done by B and C in 10 days. -->(B + C)’s 1 day work = 20 units -->A’s 1 day work = (A + B + C)’s 1 day work – (B + C)’s 1 day work = 40 units – 20 units = 20 units -->A can do the work of 600 units in 30 days. Problem 4: Gerrard can dig a well in 5 hours. He invites Lampard and Rooney who can dig 3/4th as fast as he can to join him. He also invites Walcott and Fabregas who can dig only 1/5th as fast as he can (Inefficient gunners you see ) to join him. If the five person team digs the same well and they start together, how long will it take for them to finish the job? Solution: Let the work be 100 units. Gerrard’s 1 hour work = 100/5 = 20 units Lampard and Rooney’s 1 day work = 3/4 × 20 = 15 units. Fabregas and Walcott’s 1 day work = 1/5 × 20 = 4 units. Þ In one day all five of them can do = 20 + 15 + 15 + 4 + 4 = 58 units of work. Hence they can complete the work in 100/58 days. I hope you got the knack of it. Let us now see how to solve the second kind of problems in Time and Work – the MANDAYS problems. In these kinds of problems we need to remember that the number of men multiplied by the number of days that they take to complete the work will give the number of mandays required to complete the work. The number of mandays required to complete a piece of work will remain constant. We will try and understand this concept by applying it to the next three problems. A Very simple problem to start with: Problem 5: If 10 men take 15 days to complete a work. In how many days will 25 men complete the work? Solution: Given that 10 men take 15 days to complete the work. So the number of mandays required to complete the work = 10 × 15 mandays. So assume W = 150 mandays. Now the work has to be done by 25 men and since W = 150 mandays, the number of days to complete the work would be 150/25 = 6 days. Problem 6: A piece of work can be done by 8 boys in 4 days working 6 hours a day. How many boys are needed to complete another work which is three times the first one in 24 days working 8 hours a day? Solution: Assume the first piece of work to be 8 × 4 × 6 = 192 boy-day-hours. The second piece of work = 3 (The first piece of work) = 3 × 192 = 576 boy-day-hours. So W = 576 boy-day-hours. If this work has to be completed in 24 days by working 8 hours a day the number of boys required would be 576/(24 × 8) = 3 boys. Problem 7: X can do a piece of work in 20 days working 7 hours a day. The work is started by X and on the second day one man whose capacity to do the work is twice that of X, joined. On the third day another man whose capacity is thrice that of X, joined and the process continues till the work is completed. In how many days will the work be completed, if everyone works for four hours a day? Solution: Since X takes 20 days working 7 hours a day to complete the work, the number of day-hours required to complete this work would be 140 day-hours. Like in the two problems above, this is going to be constant throughout. So, W = 140 day-hours. Amount of work done in the 1st day by X = 1day × 4 hours = 4 day-hours totalgadha.com/mod/forum/discuss.php?d=5551

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2nd day, X does again 4 day-hours of work. The second person is twice as efficient as X so he will do 8 day-hours of work. Total work done on second day = 8 + 4 = 12 day-hours. Amount of work completed after two days = 12 + 4 = 16 day-hours. 3rd day, X does 4 day-hours of work. Second Person does 8 day-hours of work. Third person who is thrice as efficient as X does 12 day-hours of work. Total work done on 3rd day = 4 + 8 + 12 = 24 day-hours Amount of work completed after 3 days = 16 + 24 = 40 day-hours Similarly on 4th day the amount of work done would be 4 + 8 + 12 + 16 = 40 day-hours Work done on the 5th day = 4 + 8 + 12 + 16 + 20 = 60 day-hours Total work done after 5 days = 4 + 12 + 24 + 40 + 60 = 140 day-hours = W. So it takes 5 days to complete the work. Remember that whenever there is money involved in a problem, the money earned should be shared by people doing the work together in the ratio of total work done by each of them. Again I will explain this with the help of an example: Problem 8: X can do a piece of work in 20 days and Y can do the same work in 30 days. They finished the work with the help of Z in 8 days. If they earned a total of Rs. 5550, then what is the share of Z? Solution: Let work W = 120 units. (LCM of 20, 30 and 8) X’s 1 day work = 6 units Y’s 1 day work = 4 units (X + Y + Z)’s 1 day work = 15 units. So Z’s 1 day work = 15 – (6 + 4) = 5 units In 8 days Z would have completed 5 units/day × 8 days = 40 units of work Since Z does 40/120 = 1/3rd of the work, he will receive 1/3rd of the money, which is 1/3 x 5550 = Rs. 1850. Pipes and Cisterns Problem 9: There are three hoses, A, B and C, attached to a reservoir. A and B can fill the reservoir alone in 20 and 30 mins, respectively whereas C can empty the reservoir alone in 45 mins. The three hoses are kept opened alone for one minute each in the the order A, B and C. The same order is followed subsequently. In how many minutes will the reservoir be full? Solution: These kinds of problems can be solved in the same way as we solve problems where one or more men are involved. A, B and C are equivalent to three people trying to complete a piece of work. The amount of work to be done would be the capacity of the reservoir. Lets assume capacity of the reservoir = W = 180 (LCM of 20, 30, 45) litres. A can fill the reservoir in 20 mins Þ In 1 min A can fill 180/20 = 9 L. B can fill 180/60 = 6 L in a minute. In one minute C can empty 180/45 = 4 L from the reservoir. 1st Minute => A is opened => fills 9 L 2nd Minute => B is opened =>fills another 6 L 3rd Minute => C is opened => empties 4 L Hence every 3 minutes => (9 + 6 – 4 =) 11 litres are filled into the reservoir. So in 45 minutes (11 × 15 =) 165 litres are filled. In the 46th minute A is opened and it fills 9 litres. In the 47th minute B is opened and it fills 6 litres. Hence the reservoir will be full in 47 minutes. Problem 10: There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity? Solution: The work to be done = Capacity of reservoir = W = 30 litres 1st Minute => inlet pipe opened => 5l filled 2nd minute => inlet pipe closed; outlet pipe opened => 4l emptied In 2 minutes (5 litres -4 litres =) 1l is filled into the reservoir. It takes 2 minutes to fill 1l => it takes 50 minutes to fill 25 litres into the tank. In the 51st minute inlet pipe is opened and the tank is filled. Problem 11: Sohan can work for three hours non-stop but then needs to rest for half an hour. His wife can work for two hours but rests for 15 min after that, while his son can work for 1 hour before resting for half an hour. If a work takes 50 man-hours to get completed, then approximately how long will it take for the three to complete the same? Assume all of them all equally skilled in their work. (a) 15

(b) 17

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(c) 20

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Solution: W = 50 man-hours Since all of them are equally skilled; in 1 hour they can do 3 man-hours of work if no one is resting. It will take them 50/3 = 16.6 hours to complete the work if they work continuously. But, since they take breaks the actual amount of time would > 17 hours. Option (a) and (b) are ruled out. Now let us calculate the amount of work done in 20 hours. Sohan does 3 man-hours in every 3.5 hours (because he takes rest for half an hour on the 4th hour) In 20 hours (3.5 × 5 + 2.5) Sohan completes => 3 × 5 + 2.5 = 17.5 man-hours ---- (1) His wife completes 2 man-hours every 2.25 hours (because she rests on the 3rd hour) In 20 hours (2.25 × 8 + 2) she completes => 2 × 8 + 2 = 18 man-hours. ---- (2) Child completes 1 man-hours every 1.5 hour. In 20 hours (1.5 × 13 + 0.5) he completes 1 × 13 + 0.5 = 13.5 man-hours of work. ------ (3) Adding 1, 2 & 3 In approximately 20 hours 49 man-hours will be completed; so the work can be completed in 20th hour.

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Re: Time and Work by R ahul Shinde - Thursday, 9 July 2009, 04:42 PM This article is re ally ve ry he lpful for pre paring Tim e and W ork topic . Hope to ge t fe w m ore such topics from the author in future . Show parent | Reply

Re: Time and Work by sanje e b panda - Thursday, 9 July 2009, 04:47 PM

Gre at article .Thank s a lot. If u have m ore num be r of que stions pls post.

R e gards Sanje e b Show parent | Reply

Re: Time and Work by vishnu m adhavan - Thursday, 9 July 2009, 05:41 PM Thank uuu soo m uch Sindhoor.R e ally nice article The conce pt of tak ing work as m ulitple units is sim plifying probs to a grt e x te nt.Thank uu Hope sm e day, we chotta gadhas too will be providing quality stuff lik e dis to our gadha land.Thnk u TG & Dagny Maam R grds Vishnu Show parent | Reply

Re: Time and Work by shivam m e hra - Friday, 10 July 2009, 11:15 AM nice article thank u so m uch proble m 7 is bit proble m atic...4 or 7 hours a day work is carrie d out not cle ar Show parent | Reply

Re: Time and Work by Sindhoor Grandhi - Friday, 10 July 2009, 11:28 AM

Thank s Shivam and re ad the last line of proble m 7 .. it says e ve ryone work s for 4 hours a day. Show parent | Reply

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Re: Time and Work by Sindhoor Grandhi - Friday, 10 July 2009, 11:32 AM Vishnu, I am happy you lik e d it ... hoping to se e your article som e day on TG Show parent | Reply

Re: Time and Work by Sindhoor Grandhi - Friday, 10 July 2009, 11:49 AM Sanje e b,I am short of good que stions in this topic too .. but will try and se e if I can post m ore .. or m ay be you can post any that you e ncounte r during your pre paration. Show parent | Reply

Re: Time and Work by Software Engine e r - Friday, 10 July 2009, 12:54 PM Gre at Effort!

Nice Article !

Thank s - SE Show parent | Reply

Re: Time and Work by the k ille r - Friday, 10 July 2009, 03:47 PM Awsom e article Sir!! Thank s a ton.. Hope to ge t som e m ore article s from you. R e gards, Kille r Show parent | Reply

Re: Time and Work by Jay Sam pat - Friday, 10 July 2009, 04:44 PM Thank s A Lot. I think that the re is a typing m istak e in answe r 4. It will be 100/58 hours.

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Re: Time and Work by Vive k Narain - Friday, 10 July 2009, 07:04 PM U rock dude . The article is ve ry he lpful. Ple ase post in som e m ore proble m s, e sp. on pipe s n ciste rns, and those lik e the last proble m whe re a pe rson tak e s a bre ak while work ing... Thank s a ton.. Show parent | Reply

Re: Time and Work by k at goe l - Friday, 10 July 2009, 10:03 PM I agre e with Jay . Day in proble m 4 should be re place d by hour Show parent | Reply

Re: Time and Work by ayush roy - Saturday, 11 July 2009, 12:38 AM grt article dude ,fe e lin so confide nt nw. just re place 180/60 wid 180/30 in prb 9,just a printin m istak e . TG sir,e x pe ctin som e challe nging prbs frm u in this topic. thank s ayush Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by ak ash gupta - Saturday, 11 July 2009, 01:28 AM too good boss..ve ry he lpful Show parent | Reply

Re: Time and Work by am it k he te rpal - Saturday, 11 July 2009, 10:10 AM nice work bro..can u give us article on tsd,percentages,profit n loss..these article help us lot n save our time.. sir/mam/se/sindhoor can u make article on each n every topic..n please post sum questions too..i love studying in this site..i have learnt many things here more than my coaching institute.A t the same time iam sad today i got backlog in my 6thsem engineering exams my entire planning is now shatered.iam not able to understand wat i should do.. Show parent | Reply

Re: Time and Work by Pune e t Aggarwal - Saturday, 11 July 2009, 07:30 PM afte r this artice I am fe e ling lot m ore confide nt with tim e and work .....thank s a lot Show parent | Reply

Re: Time and Work by Tuhin Bane rje e - Saturday, 11 July 2009, 10:22 PM Hi Sindhoor, Gre at Article , thank s a lot. Pe rsonally I lik e this chapte r a lot, could you ple ase put som e good quality que stions he re spe cific to Tim e & W ork ? R e gards, Tuhin

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Re: Time and Work by Parag Paratk ar - Saturday, 11 July 2009, 11:38 PM Hi Sindhoor, Thank s for the article ..............

!!!!!

-Parag Show parent | Reply

Re: Time and Work by joyde e p sark ar - Sunday, 12 July 2009, 10:44 AM he re is a proble m ...

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-third of the time. How many workers were there in the group? Show parent | Reply

Re: Time and Work by harshhal bande k ar - Sunday, 12 July 2009, 05:56 PM

Dear Sindhoor Nice article on time & work But I did not follow your third solution properly. I suppose whenever we take the lCM of the individual's working days we do it to calcualte the total workdone in units for ex. in the first problem total workdone is 15units. But in third problem you have taken the LCM 15,10,40 2,75.Just want to know the logic behind it. Also Please clarify why you have taken the LCM of above nos when the work done by A,B,C is A = 2 days B = 2 days with A,B + 10 days with C = 12 days C = 2 days with A,B + 10days with B + 40 days all alone = 52 days totalgadha.com/mod/forum/discuss.php?d=5551

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Please clarify ... Show parent | Reply

Re: Time and Work by Sindhoor Grandhi - Monday, 13 July 2009, 12:40 PM Hi harshhal, Sorry for the late re ply .. In proble m 3: W hate ve r you assum e W ork as; re m e m be r that you ne e d to divide it with 75 days(to find C 's 1 day work ) and 15 days( to find A+B+C 's 1 day work ). So it is e nough to tak e W as the LC M of 75 and 15 which is 75. Solve the proble m with W =75 units and you will ge t the sam e answe r. You ne e d to tak e a m e ntal note of what you would be dividing W with while you are solving the proble m . Got it? Te ll m e frank ly if you still have a doubt ..

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Re: joydeep by Kulvir Singh - Monday, 13 July 2009, 12:52 PM Is the answe r thre e ?? Show parent | Reply

Re: Time and Work by Sindhoor Grandhi - Monday, 13 July 2009, 12:53 PM Guyz, Try this proble m . Its a good one ..

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Re: Time and Work by Gaurav Mittal - Monday, 13 July 2009, 04:00 PM gre at work done sindhoor... hope to se e som e m ore article s lik e this from you in future ... thank s a lot Show parent | Reply

Re: Time and Work by Kulvir Singh - Tue sday, 14 July 2009, 11:57 AM @ Sindhoor.. Nice article ... W hich proble m you are talk ing about..?? Show parent | Reply

Re: Time and Work by Am ar Kr Dube dy - Tue sday, 14 July 2009, 03:48 PM Ans is 6 ?? Show parent | Reply

Re: Time and Work by joyde e p sark ar - Tue sday, 14 July 2009, 10:43 PM the answe r is 3... Show parent | Reply

Re: Time and Work by Vick ram Asok an - W e dne sday, 15 July 2009, 10:51 AM Gre at article ... Kudos... Post m ore challe nging proble m s on the topic.. Thank s, -VIck ram . Show parent | Reply

Time and Work by Shyam Manawat - W e dne sday, 15 July 2009, 05:08 PM

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions ve ry nice artical. i le arne d a lot. i try to use it in e ach prob. thanx Show parent | Reply

Re: Time and Work by Sindhoor Grandhi - W e dne sday, 15 July 2009, 05:46 PM

Thank s Kulvir, I was te lling about the proble m poste d by joyde e p only and 3 is the right answe r

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Re: Time and Work by Sindhoor Grandhi - W e dne sday, 15 July 2009, 05:47 PM Thank s Shyam Show parent | Reply

Re: Time and Work by joyde e p sark ar - W e dne sday, 15 July 2009, 06:34 PM Two frie nds de cide to work toge the r and com ple te the construction of the four walls of a room which is in the shape of a square .howe ve r,as b fe ll sick ,a starte d the work alone and com ple te d the construction of one wall and took "t" hours m ore than what the y would have tak e n if the y had work e d toge the r.afte r this a le ft and b,work ing alone com ple te d the construction of the se cond wall and took "(25/16)t" hours m ore than what the y would have tak e n if the y had work e d toge the r.Finally,both of the m work e d toge the r and com ple te d the re m aining two walls.the construction of the four walls was com ple te d in 121 days. in how m any days can b alone com ple te the construction of the four walls? if a total of 3600 is paid for the e ntire work ,what is the share of a??? Show parent | Reply

Re: Time and Work by Kulvir Singh - Thursday, 16 July 2009, 12:12 AM A can m ak e 4 walls in 9 days... Show parent | Reply

Re: Time and Work by jyoti ve rm a - Friday, 17 July 2009, 12:12 AM hi Thank s for the post . Nice fundas!!

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Re: Time and Work by antrik sh agarwal - Friday, 17 July 2009, 04:27 PM hi joyde e p, k indly provide a de taile d solution of the above proble m (wall construction prob) as i am unable to solve it. thank s. antrik sh Show parent | Reply

Re: Time and Work by k um ar swam bhu - Sunday, 19 July 2009, 10:16 AM this article have som e re ally trick y que stions Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by tarun bhavnani - Sunday, 19 July 2009, 01:21 PM ans is ---> b can do it in 45 days.... sol.--> say a can do wrk in l days and b can do it in m days... both can do it in n days.... l-n=t and m -n = (25/16)t and l+m +n = 121*24 (conve rting days to hrs) 3 e quations n 3 unk nowns...solve .. e njoy.. Show parent | Reply

Re: Time and Work by He m ant Ahire - Sunday, 26 July 2009, 08:13 PM

X can do a piece of work in 20 days and Y can do the same work in 30 days. They finished the work with the help of Z in 8 days. If they earned a total of Rs. 5550, then what is the share of Z? Ple ase corre ct m e if I m wrong. 1/20+1/30+1/Z = 1/8 1/Z = 1/8 - (50/600) 1/Z = 1/8 - 1/12 1/Z = 1/24 The re fore Z can do pie ce of work in 24 days. So the ration of X:Y:Zwill be 20:30:24. The re fore share of Z will be 5550*(12/37) = 1800. Show parent | Reply

Re: Time and Work by cc6886 cc - Tue sday, 28 July 2009, 11:39 AM hi Sindhoor, wont the ans be true for all m ultiple s of 3 (re garding the no of work e rs proble m )... i think 6,9 would also be right... ple ase corre ct if am wrong. Show parent | Reply

Re: Time and Work by Um ang Mathur - W e dne sday, 29 July 2009, 04:35 PM The solution to last proble m se e m s proble m spe cific. Had the total m an-hours re quire d to com ple te the work we re not 50 but som e cre e py

number, then directly multiplying by a number, as in this case by 20, would

not be e asily possible , rathe r, we would have the n

use d, hit and trial approach. Ple ase C orre ct m e if I am wrong. R e gards Um ang Show parent | Reply

Re: Time and Work by diptade e p bane rje e - W e dne sday, 29 July 2009, 10:22 PM hi He m ant, I think we ne e d to conside r the ratio of work done rathe r than the tim e tak e n in doing the work .. that's what i unde rstand. C an anyone te ll m e how to solve joyde e p's first que stion ple ase ? Show parent | Reply

Re: Time and Work by Ajayk um ar Kam ne - Thursday, 30 July 2009, 10:21 AM he y tarun, I had a doubt in ur solution for the que stion with 4 walls. 1. as the room is a square , the am ount of work re qd to do e ach of the wall would be e qual. 2. and conside ring l,m ,n to be the hours tak e n by a,b and a+b toge the r to build one wall. the e quations would be , l-n = t m -n = 25t/16 and l+m+2n = 121*24 (not l+m +n = 121*24 , 2n be cause the y build two walls toge the r.) I have a doubt in the third e quation of your solution. C orre ct m e if am wrong.

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Re: Time and Work by Ajayk um ar Kam ne - Thursday, 30 July 2009, 10:49 AM solution for joyde e p's first que stion, le t n be the no. of pe rsons work ing on first day, thn no of pe rsons work ing first day = n no of pe rsons work ing se cond day = n-1 no of pe rsons work ing third day = n-2 he nce no of pe rsons work ing on nth day = 1 if all n pe rsons k e pt work ing daily, thn it took (2/3)n days. n + n-1 + n-2 + ........ +1 = (2/3)*n using sum of arithm e tic progre ssions and solving this 1/2[2*(a)+(N-1)(d)] = 2N/3 1/2[2*(1)+(n-1)(1)] = 2n/3 1/2[n+1] = 2n/3 n+1 = 4n/3 he nce n = 3 and no, n cannot be any m ultiple of 3 as can be se e n he re , le t x be 1,2,3..... anything the n our e quation would be com e , x n + x n-1 + x n-2 +.....+1 = (2/3)*x n and solving sim ilarly 1/2[2*(a)+(N-1)(d)] = 2N/3, he re N = x n 1/2[2*(1)+(x n-1)(1)] = 2(x n)/3 1/2[x n+1] = 2x n/3 x n+1 = 4x n/3 x n = 3. n = 3/x (not an inte ge r) He nce n can only tak e value 3 othe r ways of solving this proble m are we lcom e ... Show parent | Reply

Re: Time and Work by brije sh jadav - Monday, 3 August 2009, 12:18 PM Gre at work and an e qually gre at m e thod... thnk u Show parent | Reply

Re: Time and Work by m anish k ak ati - Tue sday, 4 August 2009, 06:23 PM I ge tting the conce pts...but som e m ore proble m s will stre ngthe n our basics and acum e n... PLEASE PR O VIDE MO R E PR O Bs O N IT. Show parent | Reply

Re: Time and Work by harsh R ana - Friday, 7 August 2009, 12:10 AM W ow......Awe -inspiring e x planation about Tim e and W ork Topic. As usual sam e lik e othe r cove re d topics on this site . I fe e l am aze d whe ne ve r i re ad your topics he re and you guys m ak e m e addicte d of your m arve llous site . This site re ally e ducate m e for m y MBA form ulations. Just, a we e k be fore got to k now about TathaGat and now it'll be com e m y diurnal habbit of surfing on this we bsite . Infact, i alre ady se nd you a 1600/che que for C AT C BT m e m be rship and num be r syste m or ge om e try e -book . Hope you will re spond ASAP. He re , i want to share som e of m y opinion about your site . First of all, if you can put a chat box he re so aspirants can e asily inte ract with e ach othe r and discuss all the re proble m also. And, i think you guys are fantabulous so don't re strict or confine yourse lf with Manage m e nt e x am s only. Provide ne w course s also be cause our socie ty e x tre m e ly re quire d your k inf off m e ntors. W he n i re ad your article about be com ing te ache r, i was fille d with com ple te e m otions be cause in this fast-pace d country e ve ryone run lik e rat and want to win the race . The y all be com e so m uch se lf-inte re ste d and caught in this m one tary-syste m . In m y point of vie w, Te ache rs and Soldie rs are two fie ld which are com ple te ly ne gle cte d by our youth. I gue ss, e nough for today k e e p post lik e this which arousing or holding the atte ntion of pe ople lik e m e . You guyz are so "O BAMA C he e rs Show parent | Reply

Re: Time and Work by Prim e O ptim us - W e dne sday, 12 August 2009, 12:11 AM

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Hi, I had pre -conce ive d notion that Tim e and work is te dious.. but this article has m ade it sim ple r and lucid.. Thank s -Hari Show parent | Reply

Re: Time and Work by punit badal - W e dne sday, 12 August 2009, 03:16 PM Hi,

could you put som e probe m s which involve pe rsons with diffe re nt capabilitie s... Show parent | Reply

Re: Time and Work by Nik hil Lingala - Thursday, 13 August 2009, 10:00 PM That was awe som e !! Ex plaine d be autifully!! Thank s so m uch for the post Sindhoor. Nik hil Show parent | Reply

Re: Time and Work by PAVAN C - Saturday, 15 August 2009, 08:14 PM Thank you ve ry m uch for this article . R e gard, pavan Show parent | Reply

Re: Time and Work by m anish k ak ati - W e dne sday, 19 August 2009, 11:23 AM Ple ase this for m e :

There’s a lot of work in preparing a birthday dinner. Even after the turkey is in the oven, there’s still the potatoes and gravy, yams, salad, and cranberries, not to mention setting the table. Three friends, Asit, Arnold, and Afzal, work together to get all of these chores done. The time it takes them to do the work together is six hours less than Asit would have taken working alone, one hour less than Arnold would have taken alone, and half the time Afzal would have taken working alone. How long did it take them to do these chores working together? 1. 20 minutes 2. 30 minutes 3. 40 minutes 4. 50 minutes Show parent | Reply

Re: Time and Work by k anwarjit chadha - W e dne sday, 19 August 2009, 09:14 PM Boss, ans is 40 m in but this can be obtaine d by back calculation from give n ans only is the re a be tte r way to solve ??? Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by abhishe k tripathi - Friday, 21 August 2009, 02:27 AM thank u tg sir for dis article lok ing forwards 4 m ore of ur noble work .have a gre at day ahe ad che e rs abhishe k Show parent | Reply

Re: Time and Work by R avi Babu Gudipudi - Friday, 21 August 2009, 03:16 PM Hi TG, Thank you, this artical is re ally good ... Show parent | Reply

Re: Time and Work by Ne tra Me hta - Saturday, 22 August 2009, 02:56 AM " n + n-1 + n-2 + ........ +1 = (2/3)*n " I dint ge t this ste p in the solution to joyde e p's que stion.. C an u e x plain m e why u e quate d the se two te rm s?? Show parent | Reply

Re: Time and Work by m ite sh anand - Monday, 31 August 2009, 01:07 AM hi e ve ryone , the ans for joyde e p's 2nd prob wud be -b can com ple te in 45*4=180 days(only I think u m ight hav m istak e n in writing hrs inste ad of dayz at sum place s) a-1/36,b-1/45 so a's share -(5/9)*3600=2000 Show parent | Reply

Re: ajaykumar kamne by m ite sh anand - Monday, 31 August 2009, 01:22 AM frnd...I hop k i I will sim plify ur sol little bit.. le t work done by e ach prson on e ach day=1 unit no. of prsons work ing on 1st day=n--work done ->n units no. of prsons work ing on 2nd day=n-1--work done ->n-1 units no. of prsons work ing on nth day=1--work done ->1 unit e quation be com e s-> n + n-1 + n-2 + ..... +1=(2/3)[n+n+n...upto 'n' tim e s] [n(n+1)]/2=(2/3)n^2 4n^2=3n^2+3n n^2=3n n=0 or 3 discarding 0,ans wud b 3 m e n. Show parent | Reply

Re: Time and Work by Etti R - Saturday, 5 Se pte m be r 2009, 01:20 AM W onde rful! a ve ry good varie ty....ple ase post som e m ore such proble m s...thank s a lot!! Show parent | Reply

Re: Time and Work by Priye sh Tungare - Saturday, 5 Se pte m be r 2009, 09:44 PM hiii... can anyone e x plain m e the proble m s whe re two or m ore pe ople are include d and the y work on alte rnate days?? i am not able to solve this k ind of proble m s.. ple ase he lp m e ... Show parent | Reply

Re: Time and Work by nitin bhat - Saturday, 5 Se pte m be r 2009, 11:01 PM Hi Pr iyesh, Pr oblems that include 2 or mor e people can be solved in the similar fashion as you take the units of wor k.

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Ex. A can finish a wor k in 10 days and B takes 15 days to complete the same wor k wher eas C takes 25 days to do the same job. Find the number of days it takes to finish the job when: a) A,B & C all wor k on alter nate days b)A&B wor k on the same day and C wor ks the next day. Soln.Let the total amount of wor k be 150 units(LCM of 10,15,25) then the r espective units of wor ks of A-15,B-10 and C-6. a)Wor k completed 1st Day-15(Only A wor ks) 2nd day-10(Only B wor ks) 3r d day -6 (Only C wor ks) so at the end of 3 days the amount of wor k finished-15+10+6=31Units.hence they would take Appr ox.15 days(14.51) to complete the wor k. b)When A&B wor k same day the wor k completed-25 units on day 1 next day since only C wor ks, units of wor k completed on day 2 is 6Units. So at the end of 2 days the unit of wor k completed is(25+6)=31Units. So to complete 150 units it'll take them Appr ox. 10 Days(9.61). I hope you have under stood by now.... Regar ds, Nitin Bhat nitinr [email protected] Show parent | Reply

Re: Time and Work by Priye sh Tungare - Saturday, 5 Se pte m be r 2009, 11:19 PM he y nitin... it m ay fe e l lik e stupidity... but can u e x plain one thing.. total units of work is 31 ... the n how did u find that the y wud tak e 15 days to com ple te the work ??? Show parent | Reply

Re: Time and Work by nitin bhat - Sunday, 6 Se pte m be r 2009, 12:49 AM Priye sh, 3Days-31 Units of work done , ne x t 3 days 62 units done , ne x t 3 days 93 units done .... so on and so forth by the e nd of 15 days 155 units of work will be com ple te d... our targe t is to com ple te 150 units of work .... so it'll be little le ss than 15 days... R e gards, Nitin Show parent | Reply

Re: Time and Work by sindhuja m oram palli - Friday, 11 Se pte m be r 2009, 04:05 PM re ally a gre at work thank u so m uch sir k e e p updating the se k ind of work s Show parent | Reply

Re: Time and Work by Ne e te ndra Mishra - Sunday, 13 Se pte m be r 2009, 08:51 PM gud work ... Show parent | Reply

Re: Time and Work by ram k rishna roy - Thursday, 17 Se pte m be r 2009, 03:54 PM for e x am ple -3. , how are we ge tting LC M to be 600????? Show parent | Reply

Re: Time and Work by PAVAN C - Tue sday, 22 Se pte m be r 2009, 12:31 AM De ar ram k rishna roy, The value s in the proble m are 15,2,10,40,75 so LC M ( 15,2,10,40,75 ) =600. R e gards, Pavan. Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by de ve sh bhattacharya - Friday, 25 Se pte m be r 2009, 07:06 PM I trie d the approach its wonde rful. i trie d a fe w m ore que stions of diffe re nt varie ty and placing the m he re Q 1> if 20 m e n or 24 wom e n or 40 boys can do a work in 12 days work ing for 8 hours a day, How m any m e n work ing with 6 wom e n and 2 boys tak e to do a job 4 tim e s large r, if the y work 5 hours a day for 12 day? STO P HER E first try it do by yourse lf. if u can't solution is he re . Solution: tak e lcm as 480. total work hours for 1st job is 12*8= 96 m an hours. now e ve ry group he re tak e s 96 m an hours, so, first group of m e n will do 480/96 = 5 units of work pe r hour. Sam e is true for group of wom e n and boys. e ach m an will do 5/20 unit work pe r hour. e ach W om e n do 5/24 unit work pe r hour, e ach boy will do 5/40 unit pe r hour. now the ne w task is 4 tim e s bigge r i.e 480*4 units. now e quate le t no. of m e n work ing on ne w task be = x no. of wom e n work ing are 6 no. of boys work ing = 2 now x *(5/20)+ 6*(5/24) + 2*(5/40) = 480 * 4 it give s x = 122 which is the no of m e n re quire d. e njoy

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Re: Time and Work by jaya dulani - Thursday, 1 O ctobe r 2009, 03:32 PM

Awe som e article

!!!!

U've m ade tim e & work probs m uch e asie r and inte re sting for m e .. Thank s a ton!!! @Tarun- he y tarun, i agre e with Ajay..shudn't that be 2n, as both of the m constructe d two walls toge the r. More ove r, are n't the re 4 unk nowns and 3 e quations? Plz le ad m e to the corre ct solution. Thanx .. Show parent | Reply

Re: Time and Work by arpita bansal - Saturday, 3 O ctobe r 2009, 10:27 AM can som e one ple ase he lp m e in solving this que stion: a large tank of he ight 10m is fitte d with an inle t which can fill it in 60 m inute s. the tank has 3 outle t pipe s fitte d at the he ights of 5m , 8m , 9.5m , from the bottom . all the pipe s are ope ne d sim ultane ously, with the tank be ing e m pty initially. in how m uch tim e 95% of the tank can be fille d? if the outle rt pipe can e m pty half of the tank in 1 and half hours, the outle t pipe in the m iddle can e m pty 20% of the tank in 1 hr 12 m in and outle t pipe at the top can e m pty 5% of te h tank in 18 m ins Show parent | Reply

Re: Time and Work by arnab das - Tue sday, 6 O ctobe r 2009, 01:32 PM it's ve ry he lpful. Thank s a lot. It will be ve ry good if you can k indly can upload an article base d on tim e and distance (Mainly circle proble m , A,B, C running and how m any tim e s the y m e e t, k inna........) It will be ve ry he lpful if you do so..... Show parent | Reply

Re: Time and Work

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions by supriya naidu - Thursday, 8 O ctobe r 2009, 12:34 PM

Hi Thank s for the inform ation.I have found one site snapwiz.co.in the re is lot of good stuff re garding this chapte r in case if you are planning to pre pare as a whole for C AT i strongly re com m e nd you to look snapwiz .Tak e the te sts the re and com pare your pe rce ntile score with re spe ctive to e ach subje ct. Now a days the re is prom otional offe r going on.i re giste re d through prom otional code SW 100C AT you can also try this Show parent | Reply

Re: Time and Work by Prudhvi G - Thursday, 8 O ctobe r 2009, 04:38 PM Q 1> by De ve sh If 20 m e n or 24 wom e n or 40 boys can do a work in 12 days work ing for 8 hours a day, How m any m e n work ing with 6 wom e n and 2 boys tak e to do a job 4 tim e s large r, if the y work 5 hours a day for 12 day?

Alternate solution

for this proble m :

W ork = 12 D X 8 H = 96 Day-Hours As a group of 20 Me n or 24 W om e n or 40 Boys can do the work in sam e tim e 20 M = 24 W = 40 B

5 M = 6 W = 10 B

(ple ase do not blam e m e for ge nde r bias -

))

W ork = 12 x 8 x 20 m an-day-hours Ne w work = 4 x pre vious work = 4 x (12 x 8 x 20 ) M-D-H Le t the ne w work be done by Me n alone . Ne w work done by: 6 W + 2 B + a M => 5 M + 1M + a M (re lation btw M,W ,B ) Ne w work = 4 x (12 x 8 x 20 ) = (5+1+a) x 5 x 12 a = 128 - 6 = 122 m e n ~C he e rs~ R aj Show parent | Reply

Re: Time and Work by sushil k rishna - Saturday, 10 O ctobe r 2009, 03:09 AM thanx Show parent | Reply

Re: Time and Work by m anish m ajum de r - Monday, 12 O ctobe r 2009, 07:07 PM it was re ally a ve ry use ful post for tim e and work pre paration. Show parent | Reply

Re: Time and Work by VENU R EDDY - W e dne sday, 21 O ctobe r 2009, 11:24 AM Tim e and work article s is re ally good. Thank you ve ry m uch for posting the article he re Show parent | Reply

Re: Time and Work by Pank aj Kum ar - Thursday, 29 O ctobe r 2009, 01:02 PM gre at n sum m arize d pie ce on Tim e and W ork , TG can you ple ase he lp us on logarithm s topic too. Thank s!! Show parent | Reply

Re: Time and Work by sm riti chhabra - W e dne sday, 4 Nove m be r 2009, 10:53 AM hi! ds article s re ally he lpful! plz gve such article s n all im portant topics n C AT! but i ve sm e doubts in proble m 9 ve unde rstood upto dt le ve t dt 11 litre s are fille d into d re se rvior afte r dt last 2 ste ps plz m ak e m e unde rstand n proble m 3 too! Show parent | Reply

Time and Work e book by prate e k bansal - Tue sday, 10 Nove m be r 2009, 02:15 AM tg sir i have se nt u che que for TSD and ge om e try e book bt have stioll nt re ce ive d .C AT is v e ry ne ar.pls he lp

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions prate e k Show parent | Reply

Re: Time and Work e book by jatin arora - Tue sday, 10 Nove m be r 2009, 12:50 PM De ar Sir , the proble m s can also be solve d using work e fficie nce s also 1. A doe s work in 5 days so A e ff% = 100/5 B doe s work in 15 days so B e ff% = 100/15 Eff% of A + Eff% of B = 100/5 + 100/15 = 400/15 Both can A and B can do work in = 100/400/15 = 15/4 answer

2. A doe s work in 15 days so A e ff% = 100/15=20/3 A work s for 6 days so work com ple te d by A in 6 days = (20/3)*6 = 40% so work to be com ple te d by B in 3 days = 60% B e ff% = 60/3 = 20% So B alone can do work in = 100/20 = 5 days

answer

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Re: Time and Work by Sam it Katiyar - Monday, 16 Nove m be r 2009, 09:34 PM He llo Sir...

Many m any thank s to u............In Q uant,Tim e and W ork was the only se ction whe re I have solve d any que stion corre ctly..........But afte r going through ur solving sk ills.........I can solve TnW que stions............Thank s a lot for this gre at tutorial.......... Show parent | Reply

Re: Time and Work by Ank it Garg - Tue sday, 24 Nove m be r 2009, 11:12 AM gre at article ... afte r re ading i re alize d how sim ple it will be with tak ing LC M ... thank s a lot guys Show parent | Reply

Re: Time and Work by nidhi soni - Sunday, 29 Nove m be r 2009, 05:27 PM

thnx sindhoor

awe som e artical

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Re: Time and Work by abhishe k rai - Tue sday, 8 June 2010, 04:31 AM I m ay be an idiot, but ple ase se e the following. A group of m e n de cide d to do a job in 8 days. But since 10 m e n droppe d e ve ryday, the job got com ple te d in 12 days. How m any m e n we re at the be ginning? I got the answe r as 330. Am I corre ct. I think the answe r, give n as 165 is wrong..He lp!!! Show parent | Reply

Re: Time and Work by Gul Gul - Tue sday, 8 June 2010, 08:58 AM Abhishe k ,

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions The e quation would be sth lik e this: 8x = 12x - 10(1+2+...11) x = 165 Show parent | Reply

Re: Time and Work by abhishe k rai - Tue sday, 8 June 2010, 01:49 PM Thnx Gulab... But accroindgly, 660 m e n droppe d in 12 days, but only 165 m e n we re at the be gining!!!!! Shouldn't the no. of droppe d pe ople be 110. The n, 8x =(x -110)*12 or, 8x = 12*110-12x or, 4x =12*110 or x = 330. Now plz e x plain!!! also, initially, the no. of m andays re quire d 1320, if 165 is the answe r and afte r afte r dropping of 110 pe ople , it be com e s 540. Som e thing fishy! Show parent | Reply

Re: Time and Work by m iti chak raborty - Tue sday, 8 June 2010, 02:29 PM ajay, i use d sim ple trial nd e rror m e thod 2 solve dis q... he re , t1/t2= 1/(2/3) = 3/2 the re fore , w1/w2= 2/3 nw capacity of e ach pe rson is sam e . Le t us assum e capacity is x for all. nw using trial nd e rror.... w1= 3x +2x +x =6x w2= 3x +3x +3x = 9x w1/w2=2/3 i k nw, it cant b d prope r way 2 solve ds q...but it's tim e saving... Show parent | Reply

Re: Time and Work by m iti chak raborty - Tue sday, 8 June 2010, 02:56 PM abhise k , the no. of m e n droppe d during the proce ss is :o for the 1st day 10 for the (2nd, 3rd, 4th, 5th, ........, 12th day) i.e . in total (10 X11)= 110 m e n we re droppe d according to the q am i right, gulab????

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Re: Time and Work by Gul Gul - Tue sday, 8 June 2010, 08:53 PM Yup Miti, u r corre ct Show parent | Reply

Re: Time and Work by um ang shastri - Thursday, 2 Se pte m be r 2010, 03:14 PM pre fe ct Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by Mohit Sharm a - Tue sday, 3 April 2012, 09:58 AM @ joyde e p, Le t both the frnd can com ple te the wrk in X hrs, the n, first frnd can com ple te wrk in= X+t hrs se cond frnd can com ple te wrk in= X+25t/16, W e also k nw that, 1/X=1/(X+t)+1/(X+25t/16) from this we ge t, 4X=5t Now use , (X+t)+(X+25t/16)+2X= 121*24 hrs and calculate the value of X and t. Show parent | Reply

Re: Time and Work by Mohit Sharm a - Thursday, 5 April 2012, 10:27 PM Hi Kam al Sir, Ple ase he lp m e with the que stion. Q ue s: Mini and Vinay are quiz m aste rs pre paring for a quiz. In x m inute s, Mini m ak e s y que stions m ore than Vinay. If it we re possible to re duce the tim e ne e de d by e ach to m ak e a que stion by two m inute s, the n in x m inute s Mini would m ak e 2y que stions m ore than Vinay. How m any que stions doe s Mini m ak e in x m inute s? a) 1/4[2(x +y)-sqrt(2x ^2+4y^2)] b) 1/4[2(x -y)-sqrt(2x ^2+4y^2)] c) Eithe r a or b d) 1/4[2(x -y)-sqrt(2x ^2-4y^2)] e ) None of the se Show parent | Reply

Re: Time and Work by Mohit Sharm a - W e dne sday, 18 April 2012, 06:52 PM hi Kam al Sir, Ple ase he lp m e with the above que stion. Show parent | Reply

Re: Time and Work by Kirti Sahoo - W e dne sday, 6 June 2012, 10:31 AM He llo TG, I think the re 's a bit of an anom aly in the solution for Proble m 4. In the solution it's give n that Lapm pard and R oone y's 1 day work = 15 units but i think it should be 1 hours work and sam e with Fabre gas and W alcott. So the re com bine d 1 hours work should be 39 units and thus the y can com ple te the work in 100/39 hours or 2.56 hrs As pe r the solution provide d he re the answe r 100/58 days is absurd be cause that's approx . 1.72 which is gre ate r than 1 day which can't be the case as Ge rrard him se lf tak e s 5 hours to com ple te the work so with the he lp of 4 othe r pe ople he should be able to com ple te the work in le ss tim e . Ple ase che ck the solution and corre ct m e if i'm wrong. Thank s. Show parent | Reply

Re: Time and Work by k irti vardhan - Sunday, 29 July 2012, 04:39 PM m y first post on TG: The re is anothe r conce pt that can be use d to solve tim e work proble m s and that is the FR AC TIO N R ULE. I will post a que stion he re .i will give you the e asy m e thod. 25 m e n and 20 days to construct a 10 m t wall.how m any m e n are re quire d to m ak e an 8 m t wall if it is planne d that the work be com ple te d in 10 days.. FR AC TIO N R ULE: tak e the value of the quantity that is to be calculate d as re fe re nce ..he re 25. the n fram e the fractions by the following: if num be r of days de cre ase s (20 to 10) the num be r m e n has to inclre ase so the fraction that has to be m ultiplie d should be gre ate r than 1 so 20/10. ne x t for constructin an 8 m t wall le sse r num be r of m e n are re quire d as com pare d to a 10m t wall so the fraction has to be le ss than 1 i.e . 8/10 so m e n re quire d = 25*(20/10)*(8/10)= 40 m e n(answe r) hope this he lps u to crack que stions faste r. Show parent | Reply

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions Re: Time and Work by Pratibha B - Friday, 3 August 2012, 11:17 AM

Sindhoor, I have a confusion in problem No.7. The question says "everyone works for four hours a day". I don't understand why, then, other workers apart from X work more than four hours a day[as per the solution]. Please clarify. Show parent | Reply

Re: Time and Work by R hythm Goyal - Sunday, 5 August 2012, 10:57 PM HI He m ant, Z alone "can do" work in 24 days. But he work e d only 8 days. Also paym e nt doe s not de pe nd on num be r of days work e d for, but on the am ount of work . Thus in 8 days he work e d 1/24*8 part of work i.e . 1/3 of work .thus paym e nt too 1/3rd only. Show parent | Reply

Re: Time and Work by sam e e r sapre - Sunday, 5 August 2012, 11:17 PM thank you sir.....!! gr8 and laudable work . thank s a lot........!! Show parent | Reply

Re: Time and Work by Ashwani Kushwaha - Friday, 24 August 2012, 03:23 PM cud anyone out he re provide m e the link to the R atio and proportion forum . I can't find it. It would be of gre at he lp. thanx Show parent | Reply

Re: Time and Work by anil m osali - Monday, 10 Se pte m be r 2012, 07:43 AM u r ge nius boss. Actually spe ak ing u r total n we are gadhas.. thats our site . he lp us im prove still m ore with conce pts of de e pe r com ple x ity.. Show parent | Reply

Re: Time and Work by jyotsna chauhan - Monday, 22 O ctobe r 2012, 09:00 PM he llo Sindhoor, Ple ase solve this que stion for m e . Thank you. Four pipe s can fill a re se rvoir in 15, 20, 30 and 60 hours re spe ctive ly. The first one was ope ne d at 6 AM, se cond at 7 AM, third at 8 AM and the fourth at 9 AM. W he n will the re se rvoir be fille d ? Show parent | Reply

Re: Time and Work by vive k 231 - Tue sday, 23 O ctobe r 2012, 04:27 PM hi le t the capacity of tank be 60 (l.c.m of 15,20,30,60) and the pipe A will fill at a rate 4 litre s pe r hour B at 3,c at 2 AND D AT 2, in the first hour only A is ope ne d so 4litrs will be fille d in the se cond A and B so 7 in the third hour a,b,and c 9

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MBA| CAT| CAT 2011| CAT 2012| CAT Online| MBA 2012| MBA Entrance Exams| CAT Test| Preparation| CAT Questions in the fourth a,b,cand D 10 now 30 litre s will be fille d at 10a.m afte r that it will tak e 3 hours to fill (30/(4+3+2+1)=3hours) , so it will be fille d com ple te ly at 12.00 Show parent | Reply

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