SOLUTION: The rate of a bicyclist is 8 mph more than the rate of a long-distance runner. The bicyclist travels 52 mi in the same amount of time it takes the runner to travel 20 mi. Find the

Question 1055126: The rate of a bicyclist is 8 mph more than the rate of a long-distance runner. The bicyclist travels 52 mi in the same amount of time it takes the runner to travel 20 mi. Find the rate of the runner.
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
.
The rate of a bicyclist is 8 mph more than the rate of a long-distance runner. The bicyclist travels 52 mi in the same amount
of time it takes the runner to travel 20 mi. Find the rate of the runner.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your equation is

 = ,


where r is the runner's rate (in mph).

Multiply both sides by r*(r+8).

The rest is just arithmetic.

RELATED QUESTIONS
The rate of the bicyclist is 7 mph faster than the rate of a long-distance runner. The... (answered by stanbon)

The speed of a bicyclist is 10 mph faster than the speed of a jogger. If the bicyclist... (answered by josgarithmetic)

A bicyclist travels at a rate of 13 miles an hour. If the bicyclist continues at this... (answered by nerdybill)

A bicyclist travels at the rate of 8 miles in an hour. If the bicyclist continues at this (answered by Alan3354)

The speed of a bicyclist is 10mph faster than the speed of a walker. If the bicyclist... (answered by ankor@dixie-net.com)

An eastbound bicyclist enters a tunnel at the same time a westbound bicyclist enters the... (answered by stanbon)

I have a problem that is not from the textbook. My teacher has assigned the following... (answered by Fombitz)

One runner finishes a race in one hour. A second runner finishes 20 minutes later. If the (answered by ankor@dixie-net.com)

if a bicyclist rides at the rate of 20 feet per second. What is the rate in miles per... (answered by TimothyLamb)