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) $1\frac{1}{4}$

C) $1\frac{1}{2}$

D) $1\frac{3}{4}$


Option A


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.