How many men are required to complete the job in 3 hours?

To determine how many men are needed to complete a job in a specific amount of time, we can employ the concept of "man-hours." A man-hour is a unit that represents the work done by one person in one hour.

Let's assume the job requires a certain total number of man-hours to complete. If we denote the total man-hours required to complete the job as (M), then if we want the job done in 3 hours with (N) men, we can set up the equation as follows:

[ N \times 3 \text{ hours} = M ]

From this equation, rearranging gives us:

[ N = \frac{M}{3} ]

If we already know the total man-hours needed to finish the job within a longer duration with a certain number of men, we can then calculate how many men would be necessary to finish the job in 3 hours.

For instance, if the job initially requires 60 man-hours in total and you want to find out how many men are required to finish it in 3 hours:

Set up the equation:

[ N \times 3 = 60 ]

Solving for (N) gives:

[ N = \frac{60