A contract is to be completed in 56 days and 104 men are set to work, each working 8 hours a day. After 30 days, 2/5th of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day?
Explanation:
Work done by 104 men, working 8 hours a day, in 30 days = 104 × 8 × 30 man hours.
This is 2/5th of the total work.
= 104 × 8 × 30 × 52 × 35 = 104 × 4 × 90 man hours.
∴ Remaining work, which is 3/5th of the total work
Let a more men be employed to complete this work.
∴ (104 + a) × 9 × (56 – 30) = 104 × 4 × 90
∴ a = 56
Hence, option (a).
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