### Home > CC4 > Chapter 8 > Lesson 8.1.2 > Problem 8-30

Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of two miles per hour. Carol left five hours earlier than Jan, but Jan bikes at a rate of six miles per hour. How far did they travel when Jan caught up to Carol? Homework Help ✎

Visualize the problem by drawing a picture of the situation and remember *d* = *rt*.

Let *d* represent the distance both traveled and *t* represent the time Jan traveled.

Equation for Carol: *d* = 2(*t* + 5) where *d* is the distance Carol and Jan traveled and *t* + 5 is the time Carol walked.

Equation for Jan: *d* = 6*t* where *d* is distance Carol and Jan traveled and *t* is time Jan biked.

Set both equations equal to each other because they traveled the same distance, just at different times.

2(*t* + 5) = 6*t*

Solve for *t*.