solving a distance, rate, time problem using a linear equation

Question

Problem Page
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= ___ hours

Thanks!

Answer 1

d = r · t

5(t + 1) = 13t

 

Can you solve for t and answer?