Question 33

6 men and 2 boys can do five times as much work as one man and one boy. Find the ratio of the working capacity of a man to that of a boy.

Solution

let one man 1 day work = M

and 1 boy 1 day work = B

so one man and one boy 1 day work = M + B

6 Men and 2 Boys work = 6M + 2B

6M + 2B = 5(M + B)

= M = 3B

=$$\frac{M}{B} = \frac{3}{1}$$

=> M : B :: 3 : 1

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