First, set up variables for each runner to calculate the time:
x = faster runner
x + 0.5 = slower runner
Next, set up an equation:
9x = 6(x + 0.5)
9x = 6x + 3
3x = 3
x = 1
Since both of the runners are starting at the same place and running on the same trail, they will run the same distance. They both ran 1 mile.