Question

QUESTION 6.1 POINTThe amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 11 workers can completea job in 36 minutes, how many minutes would it take 6 workers?Do not include the units in your answer.

Answer 1

Since the number of workers and the time is an inverse relation, then we can set the following equation:

$\begin{gathered} t=\frac{k}{n}, \\ n\text{ is the number of workers.} \end{gathered}$

Solving for k, and substituting t=36 minutes, and n=11 we get:

$k=t\times n=36\times11=396.$

Now, if we substitute n=6, k=396, and solve for t we get:

$t=\frac{396}{6}=66\text{minutes.}$

Answer: 66.