SOLUTION: a train and car leave union station in Washington D.C. at the same time for Rochester New York,390 miles away. If the speed of the car averages twice the speed of the train and the
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Question 1055724: a train and car leave union station in Washington D.C. at the same time for Rochester New York,390 miles away. If the speed of the car averages twice the speed of the train and the car arrives 6.5 hours before the train, find the speed of the car and the speed of the train. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a train and car leave union station in Washington D.C. at the same time for Rochester New York,390 miles away. If the speed of the car averages twice the speed of the train and the car arrives 6.5 hours before the train, find the speed of the car and the speed of the train.
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Train DATA:
dist = 390 miles ; rate = x mph ; time = d/r = 390/x hrs
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Car DATA:
dist = 390 miles ; rate = 2x mph ; time = d/r = 390/(2x) = 195/x hrs
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Equation:
Car arrives 6.5 hrs before the train::
390/x - 195/x = 6.5
390-195 = 6.5x
195 = 6.5x
x = 30 mph (speed of train)
2x = 60 mph (speed of car)
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Cheers,
Stan H.
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