Q: If 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?

A 23
B 18
C 15
D 14

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Answer: 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.

Time and Work

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Q: If 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?

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