Railways Exam  >  Railways 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?
  • a)
    16
  • b)
    24
  • c)
    36
  • d)
    48
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A and B together can do a piece of work in 12 days. B and C together c...
Word done by (A + B) in 1 day = 1/12
Work done by (B + C) in 1 day = 1/16
Let C does a work in x days
Then work done by C in 1 day = 1/x
Given A's 5 day's work + B's 7 day's work + C's 13 day's work = 1
Or (A + B)'s 5 day's (B + C)'s 2 day's + C's 11 day's
5/12 + 2/16 + 11/x = 1
⇒ x = 24 days
View all questions of this test
Most Upvoted Answer
A and B together can do a piece of work in 12 days. B and C together c...
Explanation:

Given:
- A + B can do work in 12 days
- B + C can do work in 16 days
- A works for 5 days, B works for 7 days, and C finishes the work in 13 days

Calculating individual efficiency:
Let the efficiency of A, B, and C be a, b, and c respectively.
From the given data:
- A + B = 1/12 (Work done in 1 day)
- B + C = 1/16 (Work done in 1 day)

Solving for individual efficiencies:
- A = 1/12 - B (Equation 1)
- C = 1/16 - B (Equation 2)
- Substituting A and C values in the equation A + B + C = 1/13, we get:
1/12 - B + B + 1/16 - B = 1/13
Solving this equation, we get:
B = 1/24

Calculating C's efficiency:
From Equation 2:
C = 1/16 - 1/24
C = 1/48

Calculating days for C to finish the work alone:
C alone can finish the work in:
1 / (1/48) = 48 days
Therefore, C alone will be able to do the work in 48 days. (Option B)
Explore Courses for Railways exam
A and B together can do a piece of work in 12 days. B and C together can do the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?
Question Description
A and B together can do a piece of work in 12 days. B and C together can do the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A and B together can do a piece of work in 12 days. B and C together can do the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?.
Solutions for A and B together can do a piece of work in 12 days. B and C together can do the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways. Download more important topics, notes, lectures and mock test series for Railways 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A and B together can do a piece of work in 12 days. B and C together can do the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? 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 the same work in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days will C alone be able to do the work?a)16b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
Explore Courses for Railways exam

Top Courses for Railways

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev