Question

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

Answer 1

Answer: 6 days.

Explanation:

Inverse proportion equation has the form:

`y=(k)/(x)`

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:

`16=(k)/(3)\\\\k=16*3\\\\k=48`

To find how long will it take 8 workers to finish the job, you must substitute the value of "k" and
`x=8` into
`y=(k)/(x)`. Then you get:

`y=(48)/(8)\\\\y=6`