distance rate and time

Question

Jen recently rode her bicycle to visit her friend who lives 12

miles away. On her way there, her average speed was 10 miles per hour faster than on her way home. If Jen spent a total of 1

hour bicycling, find the two rates.

Answer 1

t_going = 12 / (r + 10)

t_returning = 12 / (r)

t_going + t_returning = 1

[12 / (r + 10)] + [12 / (r)} = 1

Can you solve for r and answer?