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?
Explanation:
In 60 days 1.5 kms out of 6 kms is built.
∴ In 60 days 1.5/6 = 1/4th work is done.
To complete the whole work, it would take 4 × 60 = 240 days, i.e., 180 more days.
Days remaining now is 200 – 60 = 140 days.
∴ To complete the remaining work in 140 days, contractor will have to hire more people. Assuming he hires x more men.
The work which 140 men would take 180 more days, now need to be completed by 140 + x men in 140 days.
∴ 180 × 140 = 140 × (140 + x)
⇒ x = 40
∴ Contractor hires 40 more people.
Hence, 40.
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