Question

If $70$ men dig $15,000$ sq.m of a field in $5$ days, how many men will dig $22,500$ sq.m field in $25$ days?

• A. $12$ men
• B. $18$ men
• C. $15$ men
• D. $21$ men

Answer 1

The correct option is D $21$ men

Given, $70$ men dig $15000$ sq.m in $5$ days
$⟹70\times 5=15000$

To dig the $22500$ sq.m in $25$ days.

Let $x$ men are required,
$⟹x\times 25=22500$

Men required $\frac{70\times 5}{x\times 25}=\frac{15000}{22500}$

$⟹x=\frac{70\times 5\times 22500}{25\times 15000}=21$ men.