Question

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?

Answer 1

5 mph.

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.