Ram and shyam working alone

Problems based on time and work which are asked in CAT can easily be solved by applying an alternate concept which is the method of LCM. Using LCM method, Time and Work problems which appear in CAT are solved quickly and efficiently. In this article, I will be focusing on the application of this method. Let us take some CAT like question on Time and Work to understand this concept. Question 1: Rakesh alone can do a work in 10 days. Brijesh can do the same job in 15 days. If both Rakesh and Brijesh work together, then in how many days the work will get completed? Explanation: Assume that the total work to be LCM of 10 and 15 =30 units. Rakesh can complete 30 units of work in 10 days. That means in one day Rakesh can complete 30/10 = 3 units of work. Similarly, Brijeh can complete 30 units of work in 15 days. Or, we can say that in one day Brijesh can complete 30/15 = 2 units of work. Now, if both Rakesh and Brijesh work together the amount of work completed by them in one day =3 + 2 =5 units of the work. Therefore, the number of days taken by them together to complete the work = 30/5 = 6 days. From the above example, it is clear that the method of LCM is not only simple to understand but also easy to apply. A student who is very new to this topic must deliberately apply this method wherever possible to get hold of the approach. Shortcut: If two people take X and Y days respectively to complete a work alone, then together they will complete it in XxY/(X+Y) days. Let us take ...

Quantitative Techniques: Practice Paper on Time and Work • Akira can do paint a room in 5 days but with the help of Heer, she can do the work in 3 days. How long would Heer take to paint the room alone? • P takes twice the time than Q to complete the work and if together work they finish the task in 3 days. How much time would P take to complete the task? • A and B can do the work in 20 days, B and C can do the work in 12 days while C and A can do the work in 15 days. If they work together then how many days they can do the work. • Ram can do 2/5 work in 10 days then he calls in Shyam to complete the rest of the work and they complete the job in 9 days. How long Shyam would take to complete the job alone?​​ • P and Q can do a job in 45 and 40 days work in respectively. They started working together and P left the work after some days and Q completed the remaining work in 25 days. How many days​​ did P work​​ with Q? • A can-do 1/6 th ​​ of the work in 4 days while B can do 1/4 th ​​ of the same work in 4 days. ​​ How much ​​ A would get paid out of Rs. 100 if they worked together? • A alone can do a work in 9 days while B can do it in 12 days. If starting from A they worked on alternate days then when will be the work completed? • Eight men can do a work in 15 days. After 7 days 3 of them left, In how many days the remaining work will be completed?​​ • If 16 men and 12 boys can do a work in 5 days; 24 men and 13 boys can do a work in 4 days then Find the ratio of their dai...

Set R, S, and H as the respective rates. Then we have R + S = 1/12, S + H = 1/15, H + R = 1/20. We want to solve for R, we can eliminate S first by subtracting the first two equations with each other: R - H = 1/12 - 1/15 = (15 - 12) / (12*15) = 3 / (12*15) = 1/60. We also have R + H = 1/20. Add these two equations to get: 2R = 1/60 + 1/20 = 1/60 + 3/60 = 4/60 = 1/15. R = 1/30, so it would take R 30 days to complete the task alone. Ans: C _________________ Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. ! A piece of work can be done by Ram and Shyam in 12 days, by Shyam and Hari in 15 days and by Hari and Ram in 20 days. Ram alone will complete the work in how many days? A. 35 B. 32 C. 30 D. 28 E. 25 (1/r+1/s)=1/12 - (1/s+1/h)=1/15 1/r-1/h=1/12-1/15 1/r-1/h=1/60; 1/r-1/h=1/60 + (1/r+1/h)=1/20 2/r=1/60+1/20 2/r=1/15 r=30 Ans (C) \(\frac\) r = 30 The answer is C Posted from my mobile device Ram = R, Shyam = S, Hari =H Rate of R + S = 1/12, Rate of S + H = 1/15 Rate of H + R = 1/12 __________________________ 2R + 2S + 2H = 1/12 + 1/15 + 1/20 = 5 +4 + 3/60 = 12/60 = 1/5 R + S + H =1/10 R = (R + S + H)- (S +H) = 1/10 -1/15 =6 – 4/60 = 2/60 =1/30 The number of days required by R to ...