Wendy took a trip from one city to another, a distance of 230 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 90 mi/h. The entire trip took 4 and 1/2 h. How long did Wendy spend on the train?

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Answer:

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

Step-by-step explanation:

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

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