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A can do a certain work in the same time in which B and C together can do it. If A and B together can do it in 12 days and C alone can do it in 60 days, then B alone can do it in:

1. 20 days
2. 24 days
3. 30 days
4. 40 days

Correct answer: 30 days

Solution

Let the daily work rates of A, B, and C be a, b, and c. Given a = b + c, a + b = 1/12, and c = 1/60. Substituting a = b + c gives 2b + c = 1/12, so 2b + 1/60 = 1/12, which yields b = 1/30.

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