SOLUTION: Wendy took a trip from city A to city B, a distance of 340 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journe

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Question 570945: Wendy took a trip from city A to city B, a distance of 340 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 120 mi/h. The entire trip took 4.5h. How long did Wendy spend on the train?
Answer by lwsshak3(11628) About Me  (Show Source):
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Wendy took a trip from city A to city B, a distance of 340 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 120 mi/h. The entire trip took 4.5h. How long did Wendy spend on the train?
**
let x=distance Wendy traveled on the bus
340-x=distance Wendy traveled on the train
Travel time=distance/speed
..
x/40+(340-x)/120=4.5
LCD=120
3x+340-x=4.5*120
2x=540-340=200
x=100
(340-x)/120=240/120=2
ans:
hours Wendy spent on the train=2