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) (Show Source): You can put this solution on YOUR website!
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

My calculator said it, I believe it, that settles it
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