Question

If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?

 

Answer 1

Let x be the number of days in which 15 men can do a piece of work.

Number of men	36	15
Number of days	25	x

$$\text{ Since the number of men hired and the number of days taken to do a piece of work are in inverse variation, we have }:$$
$$36\times 25=x\times 15$$
$$\Rightarrow x=\frac{36\times 25}{15}$$
$$=\frac{900}{15}$$
$$=60$$
$$\text{ Thus, the required number of days is 60 }.$$