A cyclist bikes x distance at 10 miles per hour and returns

[homeschool]

A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?

[stapel_eliz]

To learn, in general, how to set up and solve this sort of exercise, try here.

Once you have studied the above, please attempt the exercise. If you get stuck, you will then be able to reply with a clear listing of your steps and reasoning so far.

Thank you!