SOLUTION: Wendy took a trip from devenport to ohama, 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 636755: Wendy took a trip from devenport to ohama, 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 40 mi/h and the train 60 mi/h. the entire trip took 5 1/2 h. how long did Wendy spend on the train?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 40 mi/h and the train 60 mi/h.
The entire trip took 5 1/2 h. how long did Wendy spend on the train?
:
Let t = time on the train
the entire trip took 5.5 hrs, therefore
(5.5-t) = time on the bus
:
Write a distance equation: dist = speed * time
:
Bus dist + Train dist = 300 mi
40(5.5-t) + 60t = 300
220 - 40t + 60t = 300
-40t + 60t = 300 - 220
20t = 80
t = 80/20
t = 4 hrs on the train
:
:
Check this out, bus time = 1.5 hrs, find dist on each
40*1.5 = 60 mi
60*4 = 240 mi
-----------------
total dist 300 mi