64 men can complete a work in 15 days.to complete the same work in 12 days how many more men are required
4/5 the time, so 5/4 the workers: 80
so, another 16 are needed.
To solve this problem, we can use the concept of man-days.
The given information tells us that 64 men can complete the work in 15 days. This means that the total number of man-days required to complete the work is:
64 men * 15 days = 960 man-days
Now, we need to find out how many more men are required to complete the same work in 12 days.
Let's assume the number of additional men required is x.
When x additional men are added, the total number of men becomes 64 + x. The total number of man-days required to complete the work in 12 days is:
(64 + x) men * 12 days = 768 + 12x man-days
Now, since the work remains the same, the total number of man-days required is still 960 man-days. Therefore, we can set up the equation:
768 + 12x = 960
To solve for x, we can simplify the equation:
12x = 960 - 768
12x = 192
x = 192/12
x = 16
So, 16 additional men are required to complete the same work in 12 days.