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

Question 321066: Wendy took a trip from Davenport to Omaha, a distance of 300 miles. 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 40miles per hour and the train 60miles per hour. The entire trip took 5 and 1/2 hours. How long did Wendy spend on the train.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Wendy took a trip from Davenport to Omaha, a distance of 300 miles. 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 40miles per hour and the train 60miles per hour. The entire trip took 5 and 1/2 hours. How long did Wendy spend on the train.
..
let train journey be x miles
bus journey = 300-x miles
..
train speed = 60 mph
bus speed = 40 mph
..
time traveled in train = x/60 hours
time traveled by bus = 300-x/40
..
x/60 + 300-x/ 40 = 11/2 (5 1/2 = 11/2)
LCM =120
2x+900-3x / 120 =11/2
-x+900 /120 =11/2
2(-x+900)= 120*11
-2x+1800=1420
-2x=-380
x= 190 miles train travel
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