SOLUTION: One runner finishes a race in one hour. A second runner finishes 20 minutes later. If the faster runner is 2mph more than the slower runner, find the rate of each runner. How do I

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Question 498380: One runner finishes a race in one hour. A second runner finishes 20 minutes later. If the faster runner is 2mph more than the slower runner, find the rate of each runner. How do I set this up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need an equation for each runner
Let s = speed of slower runner in mi/hr
Let d = the distance of the race
given:
+s+%2B+2+ = speed of faster runner
+1+ hr = faster runner's time
+4%2F3+ hr = slower runner's time
---------------------------
Slower runner:
+d+=+s%2A%284%2F3%29+
Faster runner:
+d+=+%28+s+%2B+2+%29%2A1+
-----------------
+%284%2F3%29%2As+=+s+%2B+2+
Multiply both sides by 3
+4s+=+3s+%2B+6+
+s+=+6+
+s+%2B+2+=+8+
The faster runner's speed is 8 mi/hr
The slower runner's speed is 6 mi/hr