Given:
Rate = 27 miles/hour
Solving for miles per minute.
Recall that 1 hour = 60 minutes.
Multiply the rate by the hour to minute ratio, making sure the hour cancels out.
![\begin{gathered} \frac{27\operatorname{mi}}{\operatorname{hour}}*\frac{1\operatorname{hour}}{60\min } \\ =\frac{27\operatorname{mi}}{\cancel{\operatorname{hour}}}*\frac{1\cancel{\operatorname{hour}}}{60\min } \\ =\frac{27\operatorname{mi}}{60\min } \\ \\ \text{Simplify the resulting rate} \\ =0.45\frac{\operatorname{mi}}{\min } \end{gathered}]()
Therefore, the cyclist travels at 0.45 miles per minute.
Solving for distance.
To determine the distance covered by the cyclist, multiply it by 10 minutes.
![\begin{gathered} 0.45\frac{\operatorname{mi}}{\min}*10\min \\ =0.45\frac{\operatorname{mi}}{\cancel{\min }}*10\cancel{\min} \\ =0.45\operatorname{mi}*10 \\ =4.5\operatorname{mi} \end{gathered}]()
Therefore, in 10 minutes the cyclist has traveled 4.5 miles.