Arithmetic Aptitudes › Time and Work › Question #4635
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QIf A takes twice as long as B or thrice as long as C to complete a task, and they can finish the work in 2 days when working together, how long can B finish the work alone?

ID: #4635 Time and Work 172 views
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#4635Q ID
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Time and WorkTopic
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  • A 12 ✔ ✖
  • B 15 ✔ ✖
  • C 9 ✔ ✖
  • D 6 ✔ ✖
Correct Answer: Option D

Explanation

If the work rate of A is 1/x of the task per day,
the work rate of B is 1/x of the task per day, and the work rate of C is 1/x of the task per day,
then the combined work rate of A, B, and C is
(1/x + 1/x + 1/x) of the task per day, which is equal to 1/2 of the task per day.
Therefore, x = 12, which means that B takes 6 days to complete the task on their own

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