SOLUTION: the train from a to b averages 60 miles per hour, while the return trip from b to a averages 50 miles per hour. the round trip takes 3 hours. how many minutes does it take for the

Question 627232: the train from a to b averages 60 miles per hour, while the return trip from b to a averages 50 miles per hour. the round trip takes 3 hours. how many minutes does it take for the train to travel from a to b
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the train from a to b averages 60 miles per hour, while the return trip from b to a averages 50 miles per hour. the round trip takes 3 hours. how many minutes does it take for the train to travel from a to b
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a to b DATA:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
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b to a DATA:
rate = 50 mph ; distance = x miles ; time = d/r = x/50 hrs
----
Equation:
time + time = 3 hrs
x/60 + x/50 = 3 hrs
50x + 60x = 50*60*3
110x = 9000
x = 81.82 miles
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time from a to b = ?
time = d/r = 81.82/60 = 1.36 hrs = 1.36*60 minutes = 81.82 minutes
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Cheers,
Stan H.
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