SOLUTION: Wendy took a trip from one city to another, a distance of 260 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her jou

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Question 990902: Wendy took a trip from one city to another, a distance of 260 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 80 mi/h. The entire trip took 4 1/2 hours.
How long did Wendy spend on the train?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a trip from one city to another, a distance of 260 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 80 mi/h.
The entire trip took 4 1/2 hours.
How long did Wendy spend on the train?
:
let d = distance traveled by train
the total distance was given as 260 m, therefore:
(260-d) = distance by bus
:
Write a time equation; time = dist/speed
train time + bus time = 4.5 hrs
d%2F80 + %28%28260-d%29%29%2F40 = 4.5
multiply by 80, cancel the denominators and you have
d + 2(260-d) = 80(4.5)
d + 520 - 2d = 360
d - 2d = 360 - 520
-d = -160
d = 160 mi by train
"How long did Wendy spend on the train?"
160/80 = 2 hrs on the train
:
:
Confirm this answer by finding the time on the bus
100/40 = 2.5 hrs, added to the train time = 4.5 hrs