Hank rides 2 hours total on a bicycle trip into the country and back. He rode out at the rate of 20 mph and returned at the rate of 24 mph. How far into the country did Hank ride

1 answer

This question has nothing to do with trigonometry. It is algebra.

If D is the one-way distance, in miles,
D/20 + D/24 = 2 hours

The lowest common denominator is 120.
6D/120 + 5D/120 = 11D/120 = 2

D = 240/11 = 21.81 miles