A contractor undertook to build a road in 180 days. He employed 150 men for the construction of road. After 60 days, he found that only one-fourth of the road could be built. How many additional men should be employed to complete the work in time?
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Step-by-step explanation:
The contractor has undertaken to complete the work in 180 days. With 60 days gone, he has 120 days left with him. The contractor will need a total of 225 men on the job. As the contractor already has 150 men, he will need to deploy 75 additional men.
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In 60 days, 1/4th of the road was built by 150 men
In 1 day, 1/4th of the road should be built by 150*60 men
In 1 day, 1 road should be built by 150*60*4 men
In 120 days, 1 road should be built by 150*60*4/120 men
In 120 days, 3/4th road should be built by 150*60*4*3/(4*120)=225 men
In addition, constructor needs 225-150=75 men
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In 1 day, 1/4th of the road should be built by 150*60 men
In 1 day, 1 road should be built by 150*60*4 men
In 120 days, 1 road should be built by 150*60*4/120 men
In 120 days, 3/4th road should be built by 150*60*4*3/(4*120)=225 men
In addition, constructor needs 225-150=75 men
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