How many minutes did it take the faster runner to finish the 8 mile run?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
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How many minutes did it take the faster runner to finish the 8 mile run?

Expert Solution
Step 1

Let the distance be 8 mile, Pepe averaged a speed of 1/2 mile in 4.5 minutes where Paula averaged 3/4 of a mile in 7.5 minutes.  

Obtain the number minutes takes the faster runner to finish the 8 mile run.

Pepe average speed is 124.5=12×14.5=19 miles/min.

 

Paula average speed is 347.5=34×17.5=330=110 miles/min.

Note that, the average speeds that Pepe runs faster.

 

 

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