Question

If 36 men can do a piece of work in 108 days, then 24 men can complete the work in days.

• A. 62
• B. 162
• C. 142

Answer 1

The correct option is B 162

$Numberofmen\alpha \frac{1}{Numberofdays}\left(Workisconstant\right)$

We know that, if two quantities X and Y are inversely proportional, then the product of the two quantities is constant.

XY = Constant

$\begin{array}{ccc}\text{Number of men}& \text{36}& 24\\ \text{Number of days}& 108& ?\end{array}$
$36\times 108=24\times x$

$x=\frac{36\times 108}{24}$

$x=162days$