SOLUTION: Wendy took a trip from one city to another, a distance of 600 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 992564: Wendy took a trip from one city to another, a distance of 600 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 50 mi/h, and the train averaged 75 mi/h. The entire trip took
9 and a half hours
How long did Wendy spend on the train? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Wendy took a trip from one city to another, a distance of 600 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 50 mi/h, and the train averaged 75 mi/h.
The entire trip took 9 and a half hours
How long did Wendy spend on the train?
:
let d = distance traveled by train
the total distance is given to be 600 mi, therefore:
(600-d) = distance traveled by bus
:
Write a time equation, time = dist/speed
:
bus time + train time = 9.5 hrs + = 9.5
multiply by the LCM of the denominators, 150
150* + 150* = 150*9.5
cancel the denominators
3(600-d) + 2d = 1425
1800 - 3d + 2d = 1425
3d - 2d = 1425 - 1800
-d = -375
d = 375 mi by train
"How long did Wendy spend on the train?"
375/75 = 5 hrs on the train
:
:
Check this by finding the time on the bus
600 - 375 = 225 mi
225/50 = 4.5 hrs on the bus for a total of 9.5 hrs
