Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the job the less time required to complete the job. if it takes 3 workers 16 days to finish a job, how long will it take 8 workers

6 days.

Step-by-step explanation:

Inverse proportion equation has the form:

Where "k" is the constant of proportionality.

Let be "y" the time it takes to do a job (number of days) and "x" the number of workers.

We can find "k" knowing that  it takes 3 workers 16 days to finish a job:

To find how long will it take 8 workers to finish the job, you must substitute the value of "k" and into . Then you get: