A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A , B and C together can complete it in.

A 12 days
B 6 days
C 8 days
D 10 days

Correct Answer: 10 days

A & B can do in 1 day = 1/12 work B & C can do in 1 day = 1/20 work C & A can do in 1 day = 1/15 work 2(A&B&C) can do in 1 day = 1/12 + 1/20 + 1/15 = 12/60 = 1/5 work. A&B&C can do in 1 day = 1/(5 × 2) = 1/10 work. Required number of days = 1/(1/10) = 10 days. Ans: D
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