SOLUTION: Suppose it takes a car 90 minutes longer to go from Abbottsford to Hillsdale at 50 mph than it does to return at 60 mph. What is the distance between these towns?

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Question 1124949: Suppose it takes a car 90 minutes longer to go from Abbottsford to Hillsdale at 50 mph than it does to return at 60 mph. What is the distance between these towns?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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Let d be that distance.


Then the condition says


d%2F50 - d%2F60 = 1.5   hours.


Indeed, d%2F50 is the time to go from A to H at 50 mph, while

        d%2F60 is the time to return at 60 mph.


To solve the equation, multiply both its sides by 300. You will get


6d - 5d = 1.5*300,    or


d = 450.


Answer.  The distance under the question is 450 miles.

Solved.