195 men working 10 hours a day can finish a job in 20 days. How many men will be employed to finish the same job in 15 days if they work 13 hours a day?
Answer: 200 men
Explanation
Let's calculate the total work hours:
195 men * 10 hours/day * 20 days = 39,000 man-hours
To finish the job in 15 days working 13 hours/day:
Let x be the number of men needed:
x men * 13 hours/day * 15 days = 39,000 man-hours
195 * 10 * 20 = x * 13 * 15
39,000 = 195x
x = 39,000 / 195
x = 200
The number of men is 200.
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