CAT 2020 Time and Work Question (Medium)

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 need to employ in order to finish the work exactly on time?

Accepted Answer

Step 1 Total work 6 km Time allotted 200 days Initial workforce 140 persons Work done in 60 days 1.5 km So, remaining work 6 - 1.5 4.5 km Time remaining 200 - 60 140 days Step 2 Work rate of 140 persons over 60 days 1.5 km So, total person-days for 1.5 km 140 60 8400 person-days Hence, work per km 8

CAT 2020

Quantitative

Time and Work

Medium

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?

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