SOLUTION: I can bike 4 miles in the same amount of time as it takes my friend to run 3 miles. If I can cycle 2 miles per hour faster than my friend, how fast can I cycle?

Question 882557: I can bike 4 miles in the same amount of time as it takes my friend to run 3 miles. If I can cycle 2 miles per hour faster than my friend, how fast can I cycle?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I can bike 4 miles in the same amount of time as it takes my friend to run 3 miles. If I can cycle 2 miles per hour faster than my friend, how fast can I cycle?
***
let x=speed of runner
x+2=speed of cyclist
travel time=distance/speed (equal for both runner and cyclist)
..
4/(x+2)=3/x
4x=3x+6
x=6
x+2=8
speed of cyclist=8 mph
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