1)

A contractor undertakes to dig a canal 12 km long in 350 days and employes 45 men .He finds after 200 days of working that only $4\frac{1}{2}$ km of canal have been completed. How many extra men must be employed to finish the work in time?


A) 50

B) 45

C) 60

D) 65

E) 55

Answer:

Option E

Explanation:

$4.5$ km in $200$ days by $45$ men

now remaining $7.5$ km in $150$ days by $45+x$ men

$\left(\frac{200\times 45}{4.5}\right)$ $=\left(\frac{(45+x)\times 150}{7.5}\right)$

on solving this we get $x=55$.

So 55 men extra are required.