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A and B together can complete some work in 36 days, b and C together can complete the same work in 60 days, A and C together can complete the same work in 45 days. In how many days B alone can complete the same work?

A and B together can complete some work in 36 days, b and C together can complete the same work in 60 days, A and C together can complete the same work in 45 days. In how many days B alone can complete the same work? Correct Answer 90 days

Diagram

Total work = 180

Efficiency of A + B + C = (5 + 3 + 4)/2 = 6

Efficiency of B = 6 – 4 = 2

B alone can complete the whole work in = 180/2 = 90 days

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