Since the number of workers and the time is an inverse relation, then we can set the following equation:
[tex]\begin{gathered} t=\frac{k}{n}, \\ n\text{ is the number of workers.} \end{gathered}[/tex]Solving for k, and substituting t=36 minutes, and n=11 we get:
[tex]k=t\times n=36\times11=396.[/tex]Now, if we substitute n=6, k=396, and solve for t we get:
[tex]t=\frac{396}{6}=66\text{minutes.}[/tex]Answer: 66.
