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Q If A and B can complete a work in 8 days, B and C can complete it in 12 days, and A, B, and C can finish it in 6 days, how long will it take A and C to complete the work together?
ID: #4639
Time and Work
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#4639Q ID
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Time and WorkTopic
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Correct Answer: Option C
Explanation
If the combined work rate of A, B, and C is 1/6 of the task per day,
the work rate of A and B is 1/8 of the task per day,
and the work rate of B and C is 1/12 of the task per day,
then the work rate of A and C is
(2 x 1/8 - 1/12) of the task per day,
which is equal to 1/8 of the task per day.
Therefore, A and C will take 8 days to complete the work together
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