Final answer:
To find the number of men, we need to set up an equation using the concept of man-days and solve for x. The value of x represents the number of men needed to complete the work.
Step-by-step explanation:
To solve this problem, let's assume the number of men who can do the work in 60 days is x.
We are given that if there were 8 men less, it would take 10 days more to finish the work. This means that the number of men decreases to (x - 8) and the number of days increases to (60 + 10).
Next, we can use the concept of man-days, where the number of men multiplied by the number of days gives the total work done. So, we can set up the equation: x * 60 = (x - 8) * (60 + 10).
Solving this equation will give us the value of x, which represents the number of men.
After solving the equation, we find that x = 30. Therefore, the number of men is 30.