A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day? a) 79 b) 80 c) 81 d) 82 e) 83

1 Answer

Answer :

work finished by 33 days = 33×117×8 = 30888 man hours
4/7th of the job is finished.
remaining work = 1-(4/7) = 3/7
if 4/7th of the work is 30888 hours, then 3/7th of the work = [30888 × (3/7)] / (4/7) =
23166 man hours
number of men required to finish 23166 man hours of work in 13 days, each now
working 9 hours a day = 23166 = (no of man) × 13 × 9
number of men = 198
since, 117 men are already working, additional men required = 198 – 117 = 81
Answer: c)

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