SOLUTION: The Train from New Brunswick to New York averages 60 miles per hour, while the return trip from New York to New Brunswick averages 50 miles per hour. The round trip takes 3 hours.

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Question 660591: The Train from New Brunswick to New York averages 60 miles per hour, while the return trip from New York to New Brunswick averages 50 miles per hour. The round trip takes 3 hours. How many minutes does it take for the train to travel from New Brunswick to New York.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Train from New Brunswick to New York averages 60 miles per hour, while the return trip from New York to New Brunswick averages 50 miles per hour. The round trip takes 3 hours. How many minutes does it take for the train to travel from New Brunswick to New York.
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Let the distance be "x" miles.
NB to NY DATA:
rate = 60 mph ; time = x/60 hrs
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NY to NB DATA:
rate = 50 mph ; time = x/50 hrs
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Equation:
time + time = 3 hrs
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(x/60) + (x/50) = 3 hrs
50x + 60x = 3*60*50
110x = 9000
x = 81.82 miles (distance from NY to NB)
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Cheers,
Stan H.