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

Algebra ->  Equations -> 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       Log On


   



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(52817) About Me  (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.
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Your equation is

52%2F%28r%2B8%29 = 20%2Fr,


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

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

The rest is just arithmetic.