Question

$56$ men can complete a piece of work in $24$ days. In how many days can $42$ men complete the same piece of work?

• A. $18$
• B. $32$
• C. $48$
• D. $98$

Answer 1

The correct option is B $32$

Let the required number of days be $x.$
Then, Less men, More days (Indirect proportion)
$\therefore 42:56::24:x$
$\Rightarrow 42\times x=56\times 24$
$\Rightarrow x=\frac{56\times 24}{42}$
$\Rightarrow x=32$