SOLUTION: A plane averaging 120 mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination.If the train arrives 45 min later than

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Question 356544: A plane averaging 120 mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination.If the train arrives 45 min later than the plane, how far did they each travel?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane averaging 120 mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination.If the train arrives 45 min later than the plane, how far did they each travel?
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Plane DATA:
rate = 120 mph ; time = x hrs ; distance = 120x miles
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Train DATA:
rate = 60 mph ; time = x+(3/4) hrs ; distance = 60(x+(3/4) = 60x+45 miles
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Equation:
distance = distance
120x = 60x+45
60x = 45
x = 3/4 hr
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Distance = 120x = 120(3/4) = 90 miles
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cheers,
Stan H.