Based on the question, here are the data:
5/8 of a mile every 2/3 of an hour or every 40 minutes.
If he runs in 2 and 1/2 hours or 150 minutes, then he has run:
[tex]\frac{150\min s}{40\min s}\times\frac{5}{8}=\frac{750}{320}=\frac{75}{32}=2\frac{11}{32}\text{miles}[/tex]Luke has run 2 11/32 miles in 2 1/2 hours.
