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Question 4 : 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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Explanatory Answer

The contractor finishes 1.5 km in 60 days with 140 people.
That means, he finishes, 0.5 km in 20 days with 140 people.
He has 200 - 60 = 140 days left to finish the job.

Let's say 20 days is 1 unit of time.
So the contractor finishes 0.5 km in 1 unit of time with 140 people, He has 4.5 kms to finish in 7 units of time(7 × 20 days) with n people.
The working capacity of the peopl should still be the same...

Therefore, \\frac{0.5}{140}) * 1 = \\frac{4.5}{n}) * \\frac{1}{7})
n = 180.
Therefore, the contractor needs, 180 - 140 = 40 people more.

The answer is, "40"

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