If a job takes 64 men to complete in 15 days, how many more men will take to complete the job in 12 days?

64*15 = 12n

let n be number of workers

divide both sides by 12

(64*15)/12 = (12n)/12
80 = n

thus it takes 80 men to complete the job in 12 days.

To determine the number of men needed to complete the job in 12 days, we can use the concept of work done. In this case, the work is completing the job, and it requires 64 men to complete it in 15 days.

The formula to calculate work done is:

Work done = number of men × number of days

We can rearrange this formula to find the number of men required for a different number of days:

Number of men = Work done / number of days

Now, let's calculate the work done:

Work done = 64 men × 15 days = 960 man-days

Next, let's find the number of men needed to complete the job in 12 days:

Number of men = 960 man-days / 12 days = 80 men

Therefore, it would take an additional 16 men (80 - 64) to complete the job in 12 days instead of 15.