We have to calculate how much it will take for Jack to run a 8 km race.
The rate is given by the fact that he can run 6 km in 37 minutes.
Then, we can express the rate as:
[tex]v=\frac{6\text{ }km}{37\text{ }min}[/tex]We can calculate the time as the distance divided by the rate:
[tex]\begin{gathered} t=\frac{d}{v} \\ \\ t=8\text{ }km\cdot\frac{37\text{ }min}{6\text{ }km}\approx49.33\text{ }min \end{gathered}[/tex]Answer: it will take Jack approximately 49.33 minutes.