CAT 2020 Slot 3 Question 54

Question 54

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?

Correct Answer: 40


Let the desired efficiency of each worker '6x' per day.

140*6x*200= 6 km ...(i)

In 60 days 60/200*6=1.8 km of work is to be done but actually 1.5km is only done.

Actual efficiency 'y'= 1.5/1.8 *6x =5x.

Now, left over work = 4.5km which is to be done in 140 days with 'n' workers whose efficiency is 'y'.

=> n*5x*140=4.5 ...(ii)

(i)/(ii) gives,


=> n=180.

.'. Extra 180-140 =40 workers are needed. 

View Video Solution

Create a FREE account and get:

  • All Quant CAT Formulas and shortcuts PDF
  • 20+ CAT previous papers with solutions PDF
  • Top 500 CAT Solved Questions for Free


Register with


Boost your Prep!

Download App