\a project can be completed by 5 workers in 24 days. how many workers are needed to finish the project in 15 days? the time to complete a project is inversely proportional to number of people who are doing the project. a. 10 c. 6 b. 12 d. 8

The answer is: d. 8 workers

5 workers can complete a project in 24 days.

We need to know how many workers will the project need to be completed in 15 days.

We can solve it by applying inverse variation.

Completing the project in just 15 days instead of in 24 days means that the workers have to do it faster, or we need more workers.

By anyway, the project will be completed 1,6 faster than 24 days (15 days):

So, we need 1,6 times more workers:

We need a total of 8 workers to complete the project in 15 days.

Have a nice day!