Multiple choice

A contractor underlook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done 3/5 part of the work, the number of men he can withdraw so that the work may still be finished in time is -

  1. 45

  2. 40

  3. 35

  4. 30
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

110 men in 48 days completed 3/5 of work. Remaining work = 2/5, remaining time = 92-48 = 44 days. Work rate = (3/5)/(110×48). Men needed for remaining work = (2/5)/(rate×44) = 110×(2/5)×48/(3/5)/44 = 80. Withdraw 110-80 = 30 men. Option A (45) would leave 65 men, insufficient for the timeline.

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