Given
Lin runs 6 laps around a track in 9 minutes
Part A
How many minutes per lap is that?
[tex]\begin{gathered} 6\text{laps =9minutes} \\ 1\text{ lap =}\frac{9}{6}\text{minutes} \\ 1\text{lap}=\frac{3}{2}\text{minutes} \\ 1lap=1\min utes\text{ 30seconds} \end{gathered}[/tex]The final answer
1.5minutes per lap
Part B
How many laps per minute is that?
[tex]\begin{gathered} 6\text{laps =9minutes} \\ \frac{6}{9}\text{laps =1minute} \\ \frac{2}{3}\text{laps}=1\text{minute} \\ 0.66666666667lap=1\min ute \end{gathered}[/tex]The final answer
0.66666666667lap per minute
Part c
If Lin runs 21 laps at the same rate, how long does it take her?
[tex]\begin{gathered} 6\text{laps =9minutes} \\ 21\text{laps =y minutes} \\ \frac{6}{21}=\frac{9}{y|} \\ \text{cross multiply} \\ 6y=189 \\ \text{divide both sides by 6} \\ \frac{6y}{6}=\frac{189}{6} \\ y=31.5\text{ minutes} \end{gathered}[/tex]The final answer
Lin runs 21 laps for 31.5 minutes
