Discussion
150 men were employed to finish a work in 90 days. After 45 days it was found that only \(\frac{2}{5}\) of the work was done. How many more men must be employed to finish the work in the stipulated time?
Answer: D
75 more men are needed. In the first 45 days 150 men did 2/5 of the work, leaving 3/5 to be done in the remaining 45 days. If 150 men do 2/5 in 45 days then the 3/5 needs 150 x (3/5)/(2/5) = 225 men for 45 days. So 225 - 150 = 75 more are required. 150 and 125 are too many, and 95 is not enough. The remaining work is 3/5 of the whole in 45 days. Since 150 men finished 2/5 in 45 days, the work done per man in 45 days is 2/5 divided by 150, so for 3/5 the men needed are 150 x 3/2 = 225, requiring 75 additional men.
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