SOLUTION: It takes a plane two hours to fly from Detroit to New York and only an hour and thirty minutes to return. If the wind speed is 25 mph. How far apart are the two cities?

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Question 1093863: It takes a plane two hours to fly from Detroit to New York and only an hour and thirty minutes to return. If the wind speed is 25 mph. How far apart are the two cities?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It takes a plane two hours to fly from Detroit to New York and only an hour and thirty minutes to return. If the wind speed is 25 mph. How far apart are the two cities?
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You didn't spec the wind direction.
Assuming it's a direct headwind and tailwind:
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d = distance in miles
a = plane's airspeed in mi/hr
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d = 2*(a-25) = 1.5*(a+25)
2a-50 = 1.5a+37.5
0.5a = 87.5
a = 175 mi/hr
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d = 300 miles

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