CAT Exam > CAT Questions > A and B together can do a piece of work in 12...
Start Learning for Free
A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work?
Most Upvoted Answer
A and B together can do a piece of work in 12 days, B and C together c...
Given Information:
- A + B = 1/12 (A and B can do the work in 12 days)
- B + C = 1/16 (B and C can do the work in 16 days)
Calculating Individual Efficiencies:
- Let's assume A's efficiency is 'a', B's efficiency is 'b', and C's efficiency is 'c'.
- From the given information, we have:
- A + B = 1/12
- B + C = 1/16
Calculating A's Efficiency:
- From A + B = 1/12, we have:
- a + b = 1/12
- a = 1/12 - b
Calculating B's Efficiency:
- From B + C = 1/16, we have:
- b + c = 1/16
- b = 1/16 - c
Calculating C's Efficiency:
- Substituting the values of a and b in b = 1/16 - c, we get:
- (1/12 - b) + b = 1/16
- 1/12 = 1/16 + c
- c = 1/12 - 1/16
- c = 1/48
Finding Total Work:
- The total work is represented by 1.
- Therefore, A + B + C = 1/12 + 1/16 + 1/48 = 1/x (Let x be the total days C takes to complete the work)
Solving for x:
- 4x + 3x + x = 48
- 8x = 48
- x = 6
Conclusion:
- C can complete the work alone in 6 days.
- A + B = 1/12 (A and B can do the work in 12 days)
- B + C = 1/16 (B and C can do the work in 16 days)
Calculating Individual Efficiencies:
- Let's assume A's efficiency is 'a', B's efficiency is 'b', and C's efficiency is 'c'.
- From the given information, we have:
- A + B = 1/12
- B + C = 1/16
Calculating A's Efficiency:
- From A + B = 1/12, we have:
- a + b = 1/12
- a = 1/12 - b
Calculating B's Efficiency:
- From B + C = 1/16, we have:
- b + c = 1/16
- b = 1/16 - c
Calculating C's Efficiency:
- Substituting the values of a and b in b = 1/16 - c, we get:
- (1/12 - b) + b = 1/16
- 1/12 = 1/16 + c
- c = 1/12 - 1/16
- c = 1/48
Finding Total Work:
- The total work is represented by 1.
- Therefore, A + B + C = 1/12 + 1/16 + 1/48 = 1/x (Let x be the total days C takes to complete the work)
Solving for x:
- 4x + 3x + x = 48
- 8x = 48
- x = 6
Conclusion:
- C can complete the work alone in 6 days.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work?
Question Description
A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work?.
A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work?.
Solutions for A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? defined & explained in the simplest way possible. Besides giving the explanation of
A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work?, a detailed solution for A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? has been provided alongside types of A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? theory, EduRev gives you an
ample number of questions to practice A and B together can do a piece of work in 12 days, B and C together can do it in 16 days. All of them started the work together. After working for 5 days, A left. B worked for another 2 days and left. C completed the remaining work after having worked for a total of 13 days. In how many days can C complete the work? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup