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.