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A can do a work in 60 days and B can do the same work in 40 days. They work together for 12 days and then ‘A’ goes away. In how many days will ‘B’ finish the remaining work?
  • a)
    16 days
  • b)
    20 days
  • c)
    25 days
  • d)
    28 days
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A can do a work in 60 days and B can do the same work in 40 days. The...
Work done by A and B in 12 days is-
B does 1/40 work in 1 day ∴B does 1/2 work in
Hence, the correct option is (b).
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Community Answer
A can do a work in 60 days and B can do the same work in 40 days. The...
Given information:
- A can complete the work in 60 days.
- B can complete the work in 40 days.

Working together for 12 days:
Let's calculate the work done by A and B together in 1 day.
A can complete 1/60th of the work in 1 day.
B can complete 1/40th of the work in 1 day.

So, when A and B work together, they can complete 1/60 + 1/40 = 1/24th of the work in 1 day.

In 12 days, the work done by A and B together will be (1/24) * 12 = 1/2 of the total work.

Remaining work:
Since A goes away after 12 days, B has to complete the remaining 1/2 of the work.

Let's assume B takes x days to complete the remaining work.

So, B can complete 1/40th of the work in 1 day.

Therefore, B can complete x/40th of the work in x days.

Equation:
We know that the remaining work is equal to 1/2 of the total work.

So, x/40 = 1/2

Solving for x:
x = (1/2) * 40
x = 20

Answer:
B will finish the remaining work in 20 days.
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A can do a work in 60 days and B can do the same work in 40 days. They work together for 12 days and then ‘A’ goes away. In how many days will ‘B’ finish the remaining work?a)16 daysb)20 daysc)25 daysd)28 daysCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can do a work in 60 days and B can do the same work in 40 days. They work together for 12 days and then ‘A’ goes away. In how many days will ‘B’ finish the remaining work?a)16 daysb)20 daysc)25 daysd)28 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a work in 60 days and B can do the same work in 40 days. They work together for 12 days and then ‘A’ goes away. In how many days will ‘B’ finish the remaining work?a)16 daysb)20 daysc)25 daysd)28 daysCorrect answer is option 'B'. Can you explain this answer?.
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