Pat races at 10 miles per hour, while kim races at 9 miles per hour. when they both ran in the same long-distance race last week, pat finished 8 minutes ahead of kim. what was the length of the race, in miles? briefly describe your reasoning.

Let the length of the race be d miles.
Race time for Pat = d/10
Race time for Kim = d/9
If we subtract 8 minutes from the time for Kim, the result will equal the time for Pat:

This equation simplifies to:

Cross-multiplying we get:
45d = 50d -60
60 = 5d
d = 12 miles