Q7 of 28 Page 11

A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?

Given,


A and B can do a piece of work in = 18 days


Work done by A and B in 1 day =


B and C can do a piece of work in = 24 days


Work done by C and B in 1 day =


A and c can do a piece of work in = 36 days


Work done by A and C in 1 day =


Now adding, we get,


2(A+B+C)’s 1 day work =


A+B+C one day work =


∴ A, B and C can finish the work in =


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