Question

A cyclist travels north along a road at a constant speed of 28 miles per hour. At 1:00 P.M., a runner is 68 miles away, running south along the same road at a constant speed. They pass each other at 3:00 P.M.. What is the speed of the runner?

Answer 1

Answer:

The speed of the runner is 6 miles per hour.

Step-by-step explanation:

Given the distance between the cyclist and the runner is 68 miles.

Given the speed of the cyclist is 28 miles per hour.

Initial time is 1:00PM Final time is 3:00PM

Time elapsed is 3-1=2hours

Let the cyclist travel a distance of x miles,Then the distance travelled by the runner is 68-x miles.

$speed=\frac{distance}{time}$

for the cyclist

$28=\frac{x}{2}$

x=56 miles

the distance travelled by the runner is 68-56=12 miles

speed of the runner =  12/2 = 6 miles per hour