Your numbers are strange. If you intended to say it this way instead:
WRITE IT THE WAY YOU MEANT IT.
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Julie recently drove to visit her parents who live 240 miles away. On her way there her average speed was 11 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 8 hours driving, find the two rates.
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SPEED TIME DISTANCE
GOING r+11 240/(r+11) 240
COMING BACK r 240/r 240
Total 8
Your equation to solve the the speed going to parents, r is .