• # question_answer 25 men can reap a field in 20 days. When should 15 men leave the work, if the wholes field is to be reaped in $37\frac{1}{2}$ days after they leave the work? A)  6 days            B)  4 days  C)         5 days             D)         None of these

25 men can reap the field in 20 days. Since, 10 men can reap the field in $\frac{20\times 25}{10}$ or 50 days. When 15 men leave the work, 10 men remain and these can reap in $37\frac{1}{2}$ days $\frac{37\frac{1}{2}}{50}$ or $\frac{3}{4}$ of the field Hence, all men must work till $\left( 1-\frac{3}{4} \right)$ or $\frac{1}{4}$ of the field is reaped Now, 25 men reap $\frac{1}{4}$ of the field in $\frac{20}{4}$ or 5 days.