SOLUTION: A man travels from town x to town y at an average of 60 mph and returns at an average rate of 50 mph. He takes 1/2 hour longer than he would take if he made the round trip at an av

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Question 620921: A man travels from town x to town y at an average of 60 mph and returns at an average rate of 50 mph. He takes 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from town x to town y?
Answer by solver91311(24713) About Me  (Show Source):
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Let be the distance between the two towns. At 50 mph, the time to travel miles is , at 60 mph, the time to travel miles is , and at 55 mph, the time to travel miles (remember, round trip at 55), is

The times differ by a half hour with the sum of the differing speeds taking longer, so:



Solve for

John

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