Question

8 men and 12 boys can finish a work in 100 days. In how many days will 24 men 12 boys finish the work?

Answer 1

let the work done by a man in =X days

and work done by woman in = y days

Also

Work done by one man in one day=

$\frac{1}{x} \: days$

Work done by one woman in one day=1/y

So

8 man and 12 man can finish work in 100 day

$8 \times \frac{1}{x} + 12 \times \frac{1}{y} = 100$

$= \frac{8}{x} + \frac{12}{y} = 100$