SOLUTION: Wendy took a trip from Davenport to Omaha, a distance of 300mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journ

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Question 640291: Wendy took a trip from Davenport to Omaha, a distance of 300mi. 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 40mi/h and the train 60mi/h. The entire trip took 5-1/2 hours. How long did Wendy spend on the train?
speed formula is:
speed=distance/time (s=d/t)
However, we are trying to find the time factor so it would be
time=distance/speed (t=d/s)
This is what I THINK the formula is, however I am just stuck at what to plug in to what variable.
I am not good at determining these things when it comes to word problems. Please help. Would be
greatly appreciated.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Wendy took a trip from Davenport to Omaha, a distance of 300mi. 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 40mi/h and the train 60mi/h. The entire trip took 5-1/2 hours. How long did Wendy spend on the train?
speed formula is:
speed=distance/time (s=d/t)
However, we are trying to find the time factor so it would be
time=distance/speed (t=d/s)
This is what I THINK the formula is, however I am just stuck at what to plug in to what variable.
I am not good at determining these things when it comes to word problems. Please help. Would be
greatly appreciated.

FYI, this problem was done already as problem # 636755, although I wasn't the tutor who did it.

Let time Wendy spent on train be T
Then time spent traveling on bus = 5˝ - T , or 11%2F2+-+T, or %2811+-+2T%29%2F2

Distance traveled by bus, plus distance traveled by train, equals total distance

40%2811+-+2T%29%2F2+%2B+60T+=+300

20%2811+-+2T%29+%2B+60T+=+300

220 - 40T + 60T = 300

20T = 80

T, or time spent traveling on train = 80%2F20, or highlight_green%284%29 hours

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