Question

If $12$ men or $18$ women can reap a field in $7$ days. In what time can $4$ men & $8$ women reap the same field?

Answer 1

It is given that $12$ men or $18$ women can reap a field in $7$ days.

$12$ men $=18$ women

$\therefore$ 4 men $=6$ women

$4$ men $+8$ women $=6$ women $+8$ women $=14$ women

Total work done $=18\times 7$ women days

$\therefore$ No of days required to complete this work by $4$ men and $8$ women ($=14$ women)

$=\frac{18\times 7}{14}=9$ days