SOLUTION: Rene can ride her bike sixty miles in one hour less time than it takes Sue to ride sixty miles. Rene's rate is three miles per hour faster than Sue's rate. Find Rene's rate.

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Question 28258: Rene can ride her bike sixty miles in one hour less time than it takes Sue to ride sixty miles. Rene's rate is three miles per hour faster than Sue's rate. Find Rene's rate.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Rene's rate = x+3
Sue's rate = x

Formula:
60%2F%28x%2B3%29-60%2Fx=1
60%28%28x%2B3%29-%28x%29%29=%28x%29%28x%2B3%29
60%283%29=x%5E2%2B3x
x%5E2%2B3x-180=0

factor:
(x+15) and (x-12)

remove negative
x=12

12+3=15

Hence, sue's rate is 12mph and Rene's rate is 15mph.
Paul.