Question

A long distance runner starts at the beginning of a trail and runs at a rate of 5 miles per hour. One hour later, a cyclist starts at the beginning of the trail and travels at a rate of 13 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?

Do not do any rounding.

Answer 1

when the cyclist starts, the runner is 5 miles ahead.

So, he needs to make up 5 miles at 13 mi/hr, which takes 5/13 hours.

Answer 2

5/8