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Runner A averages 5 miles per hour, and Runner B averages 6 miles per hour. At these rates, how much longer does it take Runner A than Runner B to run 15 miles?

A. 1 hour
B. 0.5 hours
C. 2.5 hours
D. 1.5 hours
E. 3 hours

Answer :

Final answer:

To find out how much longer it takes for Runner A to run 15 miles compared to Runner B, we calculate the time taken by each runner and find the difference. Runner A takes 3 hours, Runner B takes 2.5 hours, so Runner A takes 0.5 hours longer.

Explanation:

To determine how much longer it takes Runner A to run 15 miles compared to Runner B, we need to calculate the time taken by each runner to cover the distance and then find the difference between these times.

For Runner A (who averages 5 miles per hour):

  1. Time = Distance ÷ Speed
  2. Time = 15 miles ÷ 5 mph = 3 hours

For Runner B (who averages 6 miles per hour):

  1. Time = Distance ÷ Speed
  2. Time = 15 miles ÷ 6 mph = 2.5 hours

The difference in time taken by Runner A and Runner B is.

  • 3 hours (Runner A) - 2.5 hours (Runner B) = 0.5 hours

Therefore, it takes Runner A 0.5 hours longer than Runner B to run 15 miles.

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