Discussion
8 Men working 9 hours a day complete a piece of work in 20 days. In how many days can 12 men working for 10 hours a day complete the same piece of work?
Answer: D
The total work is 8 men x 9 hours x 20 days = 1,440 man-hours.
The new group works 12 men x 10 hours = 120 man-hours a day, so \[\text{days}=\tfrac{1440}{120}=12.\]
So the work takes 12 days, option D. The values 9, 10 and 11 days would give fewer than 1,440 man-hours.
The same method works for any problem of men, hours and days: men times hours times days stays constant for a fixed amount of work.
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