SOLUTION: A bus traveled at an average rate of 50mph and then reduced the average rate to 40mph for the rest of the trip. If the 220 mile trip took 5 hour, determine how long the bus travele

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Question 626438: A bus traveled at an average rate of 50mph and then reduced the average rate to 40mph for the rest of the trip. If the 220 mile trip took 5 hour, determine how long the bus traveled at each rate.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bus traveled at an average rate of 50mph and then reduced the average rate to 40mph for the rest of the trip. If the 220 mile trip took 5 hour, determine how long the bus traveled at each rate.
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Faster-leg DATA:
rate = 50 mph ; time = x hrs ; distance = 50x miles
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Slower-leg DATA:
rate = 40 mph ; time = 5-x hrs ; distance = 40(5-x) miles
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Equation:
distance + distance = 220 miles
50x + 200 - 40x = 220
10x = 20
x = 2 hrs
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fast-leg time = 2 hrs
slow-leg time = 5-2 = 3 hrs.
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cheers,
Stan H.
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