Question

Lori recently rode her bicycle to visit her friend who lives 12 miles away. On her way there, her average speed was 7 miles per hour faster than on her way home. If Lori spent a total of 1 hour bicycling, find the two rates
Loris average speed to her friends house:
Loris average speed from her friends house:

Answer 1

i got 21 but idk which number goes where

Answer 2

Time = Distance/Rate
Time in total = 1 hour

To go there:
\(\large 1 = \frac{12}{(x+7)}\)

To come back:
\(\large 1 = \frac{12}{x}\)

Add them together to find \(x\) which is the rate.
\(\large \frac{12}{(x+7)} + \frac{12}{x} = 1\)

Can you solve for x in here?