Question

A contractor employed $30$ men to do a piece of work in $38$ days. After $25$ days, he employed $5$ men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men?

• A. $1$
• B. $\frac{5}{4}$
• C. $\frac{7}{4}$
• D. $\frac{3}{2}$

Answer 1

The correct option is A $1$

After $25$ days, $35$ men complete the work in $12$ days.
Thus, $35$ men can finish the remaining work in $12$ days.
$\therefore 30$ men can do it in $\frac{(12\times 35)}{30}=14$days,
which is $1$ day behind.