If chase runs 5 miles in 60 minutes how far will he run in 3 hours if he continues to run at the same rate

If Chase runs 5 miles in 60 minutes, his rate is 5/60 = 1/12 mile per minute.

In 3 hours, there are 3 * 60 = <<3*60=180>>180 minutes.
Therefore, Chase will run 180 * (1/12) = <<180*(1/12)=15>>15 miles in 3 hours. Answer: \boxed{15}.