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?

5 mph.

Step-by-step explanation:

Let the runner travel at x miles an hour, then the cyclist travels at 5 / 3 * x

= 5/3 x miles an hour.

So we have the equation

5/3 x - x = 2 (since the cyclist was travelling at 2 mph faster).,

2/3 x = 2

x = 3/2 * 2 = 3 mph.

So the cyclists speed was 3 * 5/3

= 5 mph.