Question 559108: Wendy took a trip from city A to city B, a distance of 820 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 90 mi/h. The entire trip took 10.5 h. How long did Wendy spend on the train?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Wendy took a trip from city A to city B, a distance of 820 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 90 mi/h. The entire trip took 10.5 h. How long did Wendy spend on the train?
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Bus DATA:
rate = 40mi/hr ; time = x hrs ; distance = r*t = 40x miles
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train DATA:
rate = 90 mi/hr. ; time = (10.5-x) hr. ; distance = 90(10.5-x) miles
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Equation:
miles + miles = 820 mi.
40x + 90(10.5-x) = 820
40x + 945 - 90x = 820
-50x = -125
x = 5/2 = 2 1/2 hrs (bus time)
10.5 -2 1/2) = 8 hrs (train time)
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Cheers,
Stan H.
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