CAT 2020 Slot 3 QA Question 3: A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he

Question

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he

Accepted Answer

Actual work done by 140 people in 60 days is 1.5 km. The remaining work is 4.5 km and the remaining time is 140 days.
Let $W$ be the total number of people required after 60 days. Since work is proportional to number of people and number of days,
$\dfrac{W 	imes 140}{140 	imes 60} = \dfrac{4.5}{1.

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?