### Home > INT1 > Chapter 8 > Lesson 8.1.2 > Problem 8-30

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?

Visualize the problem by drawing a picture of the situation and remember .

Let represent the distance both traveled and

*represent the time Jan traveled.*

Equation for Carol: where

*d*is the distance Carol and Jan traveled and

*is the time Carol walked.*

Equation for Jan: where

*is distance Carol and Jan traveled and*

*is time Jan biked.*

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

Solve for .