CAT 2020 Quant Question [Slot 3] with Solution 10

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?

Option: 40
Solution:

\(X = 140 \times \frac{{4.5}}{{1.5}} \times \frac{{60}}{{140}} = 180\)

Additional men required \( = 180 - 140 = 40\)

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CAT 2020 Quant questions with Solutions