Arithmetic Aptitudes › Time and Work › Question #4637
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QIf A and B can complete a task in 30 days, B and C can complete it in 24 days, and C and A can complete it in 20 days, and they all work together for 10 days before B and C leave, how much longer will it take A to finish the work?

ID: #4637 Time and Work 154 views
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#4637Q ID
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Time and WorkTopic
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  • A 23 ✔ ✖
  • B 18 ✔ ✖
  • C 15 ✔ ✖
  • D 14 ✔ ✖
Correct Answer: Option B

Explanation

If the combined work rate of A, B, and C is 1/8 of the task per day,
and they work together for 10 days, completing 5/8 of the task,
the remaining work is 3/8 of the task.
The work rate of A is 1/24 of the task per day, so it will take A 18 days to complete the remaining work.
Therefore, A will take a total of 18 days to finish the work after B and C leave.

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