SOLUTION: Wendy took a trip from Davenport to Omaha, a distance of 300 mi. She traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her jour

Question 199038This question is from textbook algebra and trigonometry
: Wendy took a trip from Davenport to Omaha, a distance of 300 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 40mi/h and the train 60mi/h. The entire trip took 5 1/2h. How long did Wendy spend on the train? This question is from textbook algebra and trigonometry

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let b = bus time, abd Let t = train time
.
distance = velocity * time
.
40 * b + 60 * t = 300
and b + t = 5.5,,,,, or b = 5.5 -t
.
40 ( 5.5 -t) + 60 t = 300
.
220 -40t +60t = 300
.
20t = 80
.
t=4 hrs
.
b= 5.5-4 = 1.5 hrs
.
check
.
40(1.5) + 60(4) = 300
.
60 + 240 = 300,,,,,ok
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