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Simply add your times and divide by the distance (or visa-versa).

21 minutes + 63 minutes = 84 minutes
84 minutes/10 miles = 8.4 minute miles.

Note, this is a convenient form to calculate speed for runners. However, the "standard" would be in MPH (or the metric equivalent).
(10 miles / 84 minutes)*(60 minutes/hour) = 7.14 MPH

A common fallacy might be to calculate the speed in each leg of the race and average.
3 miles in 21 minutes = 7 minute miles.
7 miles in 63 minutes = 9 minute miles.
If you average these two you get 8 minute miles WHICH IS INCORRECT.
The problem with this is that the runner ran each pace for different distances. If the distances at each pace were the same, then this would work.

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Q: Kerry ran a 10-mile race She ran the first three miles in 21 minutes She ran the last seven miles in 63 minutes What was her average speed in the race?
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