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March 08 2018
Question A and B can do a piece of work in 12 days; B and C can do it in 15 days and A and C in 20 days. In how many days will A, B and C finishes it working all together?

work done by (A + B) in one day = 1/12

similarly work done by (B + C) in one day = 1/15 and by (A + C) = 1/20

Adding,  we get: 2(A + B + C) = (1/12 + 1/15 + 1/20) = 1/5 => (A + B + C) = 1/10

Thus, A, B and C together can finish work in 10 days.


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