Question

In order to complete a work in $28$ days, $60$ men are required. How many men will be required if the same work is to be completed in $40$ days?

• A. $42$
• B. $32$
• C. $48$
• D. $38$

Answer 1

The correct option is A $42$

Less number of days then more number of people.

People and days are in inverse proportion.

Let $x$ men are required to complete the job in $40$ days.

as this is inverse proportion.

$x:60::28:40$

$⟹40x=60\times 28$

$⟹x=\frac{60\times 28}{40}$

$⟹x=42$

Hence, $42$ men are required to complete the job in $40$ days.