Question

The number of minutes needed to complete a job, m, varies inversely with the number of workers, w. Eight workers can complete a job in 18 minutes. How many minutes would it take 6 workers to complete the job?

Answer 1

Explanation:

Solution 1

Since this is an inverse relationship, we know that

m=k/w, where k is the constant of variation.

we know that m = 18 and w = 8 for one situation, so we know that

18=k/8, which gives us k = 144. we use k in the new equation:

m=144/6, which means that the time it takes for 6 workers to finish is

24 minutes