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 If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?

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 If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?

A). 4 days

B).  5 days

C). 6 days

D). 5 days


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Answered by on | Votes 0 |

4 days



Let 1 men's 1 day work = x and 1 boy's 1 day work = y.

Then, 6x + 8y = 1/10 and 26x + 48y = 1/2

Solving these two equations, we get:

x = 1/100 and y = 1/200

(15 men + 20 boys)'s 1 day work = (15/100 + 20/200) = 1/4

15 men and 20 boys can do the work in 4 days.

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