A contract undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that 34 of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time?Options4020None of these30
Question
A contract undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that 34 of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time?Options4020None of these30
Solution
The problem can be solved using the concept of man-days.
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Initially, the contractor planned to complete the work in 90 days with 60 men. So, the total work is 90*60 = 5400 man-days.
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After 60 days, only 3/4 of the work is completed. So, the work completed is 3/4 * 5400 = 4050 man-days.
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The remaining work is 5400 - 4050 = 1350 man-days.
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The remaining days to complete the project is 90 - 60 = 30 days.
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So, the number of men required to complete the work in 30 days is 1350/30 = 45 men.
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Therefore, the contractor can discharge 60 - 45 = 15 men to complete the project exactly on time.
So, the answer is none of these.
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