Answer :
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
[tex]\frac{76}{8}=\frac{x}{1}[/tex]From this expression, we can determine the time it takes him to run one lap
[tex]\begin{gathered} x=\frac{76}{8} \\ x=9.5 \end{gathered}[/tex]It takes Mr. Patterson 9.5minutes to run one lap.