Question

18 men can reap a field in 35 days. For reaping the.same field in 15 days,
how many men are required ?

Answer 1

Let x men are required,
Therefore,
$\begin{array}{ccc}\text{Men}& 18& x\\ \text{Period (in days)}& 35& 15\end{array}$
Less days, more men
By inverse variation:
$18:x=15:35\Rightarrow \frac{18}{x}=\frac{15}{35}\Rightarrow 15x=18\times 35\Rightarrow x=\frac{18\times 35}{15}\Rightarrow x=42$
$\therefore$ Number of men required = 42