Question

A biker’s speed is 1.5 times faster than a walker’s. They started simultaneously from the same point and in 1.5 hours the distance between them was 12.5 miles. What are their speeds?

Answer 1

Biker = 25 mph

Walker = 16⅔ mph

Explanation:

Distance = rate × time

If x is the walker's speed and y is the biker's speed, then:

1.5 y − 1.5 x = 12.5

y = 1.5 x

Solve the system of equations.

1.5 y − y = 12.5

0.5 y = 12.5

y = 25

x = 16⅔