Question

24 men working at 8 hours perday can do a piece of work in 15 day. in how many days can 20 men working at 9 hours day can complete the same work?

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Answer 1

16 days

Explanation:

24 men works 8 hours a day to complete a work in 15 days. While 20 men works at 9 hours per day to complete the same work in x days. We can find the number of days it took the 20 men by using the expression below:

24 men * 8 hours/day * 15 days = 20 men * 9 hours/day * x days

`x (days)=(24\ men * 8\ hours/day * 15\ days )/(20\ men * 9\ hours/day) \\\\Simplifying\ gives:\\\\x(days)=16\\\\x=16\ days`

Therefore it took 20 men working 9 hours/day, 16 days to complete the same work