Final answer:
The rate of change in speed for the runner who ran 10 miles in 2 hours and then 5 miles in 1 hour is 0 mph per hour, indicating a consistent speed was maintained throughout the run.
Step-by-step explanation:
When analyzing the change in speed over different distances and times, you calculate the rate of change by finding the difference in speeds and dividing by the time period over which they changed.
For the first part of the run, you covered 10 miles in 2 hours, which is a speed of 5 miles per hour (mph). In the second part, you ran 5 miles in 1 hour, maintaining a speed of 5 mph. The rate of change of your speed is the change in speed divided by the time it took for that change. In this case, the speed did not change, so the rate of change is 0 mph per hour. This indicates that you maintained a consistent speed between the two intervals. If we apply the general statistics included, it would suggest that with a constant speed of 5 mph, you would be among the 40 percent of runners who ran at speeds of 7.5 miles per hour or less.