# What will be the time taken by 15 men and 20 boys in doing the same type of work?

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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.
What will be the time taken by 15 men and 20 boys in doing the same type of work?

posted Jan 9, 2016

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y

6x + 8 y = 1/10

26x + 48y = 1/2
Solving we get,
x = 1/100 and y = 1/200

(15 men + 20 boy)'s 1 day's work = 15/100 + 20/200 = 1/4
15 men and 20 boys can do the work in 4 days

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