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A cyclist rides his bike at a rate of 27 miles per hour. What is this rate in miles per minute? How many miles will the cyclist travel in 10 minutes? Do not roundyour answers.Rate:Distance traveled in 10 minutes: 1

A cyclist rides his bike at a rate of 27 miles per hour. What is this rate in miles-example-1
User Ben Boyter
by
5.7k points

1 Answer

5 votes

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.

User Conradkleinespel
by
7.4k points
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