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A and B can do a piece of work in 12 days. B and C in 15 days and Cand A in 20 days.If A,B and C work together, they will complete the work in :
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Explanation:
In these kind of questions always take total work [T.W.] a, L.C.M of no of days. Here T.W is 60.
If A+B complete the whole work in 12 days, so their one day work will be 5 unit. Similarly we will calculate the one day work for other two pair.
(Here, 12 unit represents twice of the work done by A, B and C. So we will divide it by 2)
work done by(A+B+C) /day,
=12\2 = 6 units/day
∴Total time taken by (A+B+C)
=Totalwork\T.W done by(A+B+C)/day
=60\6= 10 days