If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?

If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?

Explanation

To solve this problem, calculate the total hours worked by the men:

12 men × 8 hours/day × 10 days = 960 hours

Now, find the number of men needed to complete the work in 5 days, working 12 hours a day:

Let x be the number of men.

x men × 12 hours/day × 5 days = 960 hours

x × 60 = 960

x = 16