Question

How many men must be engaged to do a piece of work in 16 days which 24 men can do in 40 days?

Answer 1

Let the number of men doing the work in 16 days be a

Number of men	a	24
Number of days required to do a task	16	40

The number of men doing work and the number of days taken are in inverse proportion

$x_1{y}_1=x_2{y}_2$

$a\times 16=24\times 40$

$a=\frac{24\times 40}{16}$

$a=60$

Hence, 60 men can do the work in 16 days