A runner traveled 3 mi in the same time that a cyclist traveled 5 mi. The speed of the cyclist was 2 mph greater than that of the runner. What was the cyclist's speed?
2+x/x = 5/3
cross multiply
3(2+x)=5x
distribute
6+3x=5x
6+3x-3x=5x-3x
6=2x
6/2=2x/2
x=3
The runners' speed was 3 miles per hour and the cyclists' speed was 5 miles per hour
