Mr Patterson could run 8 laps in 76 minutes, to determine how many minutes it takes him to finish one lap you can use cross multiplication:
8 laps ___ 76 minutes
1 lap ____ x minutes
Both relationships are at the same rate so that
![(76)/(8)=(x)/(1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/luq8zq3povs2zgfbvcvnbjkuf65zakskrx.png)
From this expression, we can determine the time it takes him to run one lap
![\begin{gathered} x=(76)/(8) \\ x=9.5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kbkjh1gzc80hmh36fmwc6untn75k110z2g.png)
It takes Mr. Patterson 9.5minutes to run one lap.