Answer: [tex]12\ mph[/tex]
Step-by-step explanation:
Given
First cyclist travels [tex]3\ miles[/tex] in [tex]15\ min[/tex]
Then, [tex]7\ miles[/tex] in [tex]35\ min[/tex]
Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{time taken}}[/tex]
[tex]V_{avg}=\dfrac{3+7}{15+35}[/tex]
[tex]V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min[/tex]
[tex]V_{avg}=\dfrac{1}{5}\times 60\ miles/hr[/tex]
[tex]V_{avg}=12\ mph[/tex]
Thus cyclist speed is [tex]12\ mph[/tex]
