If three roofers can complete a project in 8 days, how long will it take five roofers to complete the same project?

To determine how long it will take five roofers to complete the same project, it's essential to first understand the work output of the roofers involved. The work rate is based on the number of workers and the time taken to complete the project.

If three roofers can finish the project in 8 days, we can calculate the total amount of work in "roofer-days." This is done by multiplying the number of roofers by the number of days they work. Therefore:

Total work = 3 roofers × 8 days = 24 roofer-days.

Now, to find out how long it will take five roofers to complete the same amount of work, we can set up an equation using the amount of work that needs to be done (24 roofer-days) and the number of roofers (5).

Let ( x ) be the number of days it takes for five roofers to complete the project:

5 roofers × ( x ) days = 24 roofer-days.

Now, solve for ( x ):

( x = \frac{24 \text{ roofer-days}}{5 \text{ roofers}} = 4.8 \text{ days}. )

Thus, it will take