A, B and C can complete a work in 15 days, 12 days and 10 days respectively. If A and C together work for x days and B completes the remaining work for 2x days, find the value of 3x.

Correct answer: 9

Solution

A's rate is 1/15, B's is 1/12, and C's is 1/10. So, (1/15 + 1/10)x + (1/12)(2x) = 1, which gives x = 3. Therefore, 3x = 9.

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