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June 16 2017
Question 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
Answer

Let 1 man do work in one day = x

and 1 boy do work in one day = y

Then, 2x + 3y = 1/10 and 3x + 2y = 1/8.

solving, we get: x = 7/200 and y = 1/100.

Therefore (2 men + 1 boy) one day work = (2* 7/200) + (1* 1/100) = 16/200 = 2/25.

So. 2 men and a boy together can finish the work in 25/2 days

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