SOLUTION: When two cars race around a circular mile track starting from the same place at the same instance, they pass each other every 18 seconds when traveling in opposite directions and e

Question 402625: When two cars race around a circular mile track starting from the same place at the same instance, they pass each other every 18 seconds when traveling in opposite directions and every 90 seconds when traveling in the same direction. Find their speeds in miles per hour
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = rate of one car
y = rate of another car.
Then 18x + 18y = 1, and
90x - 90y = 1
Multiply the top equation by 5 and add to the bottom equation:
180x = 6, or x = 1/30 mile per second, or 2 miles per hour.
==> y = 1/45 mile per second, or miles per hour.
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