# Honors Algebra II

posted by
**Nicole**
.

A runner and a walker begin on a track (oval shape) 1 mile in length at the same spot and depart in opposite directions. The runner goes steadily at 9 mph while the walker goes at a steady 3 mph. How long before they meet again? Show your work!

Let the distance covered by the slower walker be x, then clearly the distance covered by the faster walker would be 1-x.

Now the time taken by the slower walker is x/3 and the time taken by the faster walker would be ......??

What do you know about the times taken by each??

Can you take it from here?

hint: 1/12 hour which would be 5 minutes.

Let the distance covered by the slower walker be x, then clearly the distance covered by the faster walker would be 1-x.

Now the time taken by the slower walker is x/3 and the time taken by the faster walker would be ......??

What do you know about the times taken by each??

Can you take it from here?

hint: 1/12 hour which would be 5 minutes.