Timework10

21A 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 is 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?

Option : B
Explanation :
of work is completed.
Remaining work = 1-() =
Remaining period = 46 - 33 = 13 days
Less work, less men(direct proportion)
Less days, more men(Indirect proportion)
More hours/day, less men(Indirect proportion)
work :
Days 13:33 :: 117:x
hrs/day 9:8
× 13 × 9 × x = ()33 × 8 × 117
x = (3 × 33 × 8 × 117) / (4 × 13 × 9)
= 198 men
So, additional men to be employed
= 198 - 117 = 81

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