Anica jogs for two hours every day. She follows a runner’s trail a certain distance and then turns around and returns back to her starting point on the same trail. On the way out, she runs at a rate of 6 mph; on the return she runs at a rate of 4 mph. How many miles does she run in two hours?

Question

Anica jogs for two hours every day.  She follows a runner’s trail a certain distance and then turns around and returns back to her starting point on the same trail.  On the way out, she runs at a rate of 6 mph; on the return she runs at a rate of 4 mph.  How many miles does she run in two hours?

pfenn1 · Answer

Let x = miles of trail one-way.$$\frac x6+\frac x4=2$$

anonymous · Answer

But aren't they different distances?

pfenn1 · Answer

She starts at one place, runs out to a certain point and then returns to where she started.  The distance covered has to be the same.  The time to cover that distance varies however.

anonymous · Answer

Oooooooh. Ok.

anonymous · Answer

Is it 9 and 3/5?

pfenn1 · Answer

No.  Recheck your math.

anonymous · Answer

I mean as in both ways. Not just one way.

pfenn1 · Answer

Yes, sorry.....I didn't realize you meant both ways.

anonymous · Answer

Alright. Thanks for the help!

pfenn1 · Answer

You're welcome.