Question

If either $24$ men or $36$ women can reap a field in $40$ days, then $16$ men and $16$ women will reap the same field in

• A. $18$ days
• B. $12$ days
• C. $16$ days
• D. $36$ days

Answer 1

The correct option is D $36$ days

If $M$ denotes the men and $W$ denotes the women, then according to the given condition, we have
$24M=36W$
$\Rightarrow 2M=3W$

Now, $16M+16W$
$=24W+16W$
$=40W$
Since $36$ women can reap a field in $40$ days,
therefore $40$ women can reap the same field in $\frac{36\times 40}{40}=36$ days.