### Home > AC > Chapter 9 > Lesson 9.2.2 > Problem 9-43

During a race, Bernie ran **Justify **your answer.

Define variables and write an equation for Bernie and an equation for Barnaby. time in seconds

*distance in meters*

To catch up, their equations would need to be equal.

Solve for .

Substitute into one of the original equations and find

*.*

If the distance

Bernie can't catch up with Barnaby in

Use the eTool below to graph the equations for Bernie and Barnaby.

Look at your graph to determine if Bernie ever caught up with Barnaby and if so, when.

Click on the link at right for the full eTool version: *9-43 HW eTool* (Desmos)