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=(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* n=36*11=396.`

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

`t=(396)/(6)=66\text{minutes.}`

Answer: 66.