Official Solution: A contractor was hired to complete a certain construction job in 80 days. To meet this deadline, the contractor initially assigns 120 men, each working 10 hours per day at a constant rate. After 40 days with these 120 men, an inspection shows that only 3/8 of the job has been completed. At that point, how many additional men, working at the same rate and for 10 hours per day, must be hired to finish the job on time?A. 50
B. 60
C. 70
D. 80
E. 90
Work done in first 40 days \(= 120 * 40 * 10 = 48,000\) man-hours.
This equals \(\frac{3}{8}\) of the total work, so total work \(= \frac{48,000}{\frac{3}{8}} = 128,000\) man-hours.
Remaining work \(= 128,000 - 48,000 = 80,000\) man-hours.
Time left \(= 80 - 40 = 40\) days, so each man can do \(40 * 10 = 400\) man-hours.
Men needed for remaining work \(= \frac{80,000}{400} = 200\).
Additional men needed \(= 200 - 120 = 80\).
Answer: D