SOLUTION: Ryan left the science museum and drove south. Gabriella left 3 hours later driving 42 km/h faster in an effort to catch up to him. After 2 hours Gabriella finally caught up. Find R

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Question 994775: Ryan left the science museum and drove south. Gabriella left 3 hours later driving 42 km/h faster in an effort to catch up to him. After 2 hours Gabriella finally caught up. Find Ryan's average speed.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
PERSON        speed        time        distance
Ryan           r           3+2=5        r*5
Garbiella     r+42         2            (r+42)*2


The distance column is the "catch-up" distance, and each expression is the same quantity; the expressions are equal.

r%2A5=%28r%2B42%29%2A2
5r=2r%2B84
3r=84
r=7%2A12%2F3
highlight%28r=28%29