Respuesta :
Start by passing the miles into kilometers, taking into account that 1 mile is approximately 1.6km
[tex]5mi\cdot\frac{1.6\operatorname{km}}{1mi}\cong8\operatorname{km}[/tex]pass the kilometers to meters taking into account that 1 km is 1000m
[tex]8\operatorname{km}\cdot\frac{1000m}{1\operatorname{km}}=8000m[/tex]convert the 45 minutes to hours taking into account that 1 hour has 60 minutes
[tex]45\min \cdot\frac{1h}{60\min }=0.75h[/tex]divide the meters he ran by the time it took him to run that distance
[tex]\frac{8000m}{0.75h}\cong\frac{10666.67m}{h}[/tex]He can run about 10666.67 m in 1 hour
another different way to find the equivalences is to write it as relations
[tex]\begin{gathered} 1mi\Rightarrow1.6\operatorname{km} \\ 5mi\Rightarrow x \end{gathered}[/tex][tex]\frac{x}{5mi}=\frac{1.6\operatorname{km}}{1mi}[/tex]solve for x
[tex]\begin{gathered} x=\frac{1.6\operatorname{km}\cdot5mi}{1mi} \\ x=8\operatorname{km} \end{gathered}[/tex]