How long will it take for 5 men to complete the same job that 10 men can do in 6 hours?

To find the time it will take for 5 men to complete the same job that 10 men can do in 6 hours, we first need to determine the total amount of work required, which can be defined in terms of "man-hours."

If 10 men can complete the job in 6 hours, the total work can be calculated as follows:

Total work = Number of men × Time taken = 10 men × 6 hours = 60 man-hours.

Now, if 5 men are tasked with completing the same job, we need to find out how long it will take them to achieve the same 60 man-hours of work. Let’s denote the time taken by 5 men as "T" hours.

The work done by 5 men in T hours can also be expressed in man-hours:

Work done = Number of men × Time taken = 5 men × T hours = 5T man-hours.

Since the amount of work needed to complete the job remains constant at 60 man-hours, we can set up the equation:

5T = 60.

To find T, divide both sides by 5:

T = 60 / 5,

T = 12 hours.

This shows that it will take