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?

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?

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.