Two cyclists, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?

Question

Use the variable r to represent the speed of the slower cyclist.

A. Write an equation using the information as it is given above that can be solved to answer this.

b. What is the speed of the faster cyclist?

Answer 1

time * rate = distance

2(3r+r) = 64

2(4r)=64

8r=64

r=8

8 and 24 mph