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Yuki888 [10]
3 years ago
7

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 trai

n 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?
Mathematics
1 answer:
sasho [114]3 years ago
4 0

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

pls give brainlyiest

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