SOLUTION: Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?
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Question 796307: Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Running Speed = x
Cycling Speed = x + 9
19.5/x + 9 = 6/x
Cross multiply
19.5x = 6x + 54
Collect like terms:
19.5x - 6x = 54
13.5x = 54
x = 4
Running speed = 4 mph
Cycling speed = 13 mph
Hope this helps.
:-)
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