SOLUTION: Wendy took a trip from city A to city B, a distance of 860 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journe

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Question 785372: Wendy took a trip from city A to city B, a distance of 860 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 105 mi/h. The entire trip took 9.5 hr. How long did Wendy spend on the train?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let her travel by bus x miles
bus rate = 50 mph
she travels by train 860-x miles
Train rate = 105 mph
Time by train + time by bus = 9.5
t=d/r
%28860-x%29%2F105+%2B%28x%2F50%29+=9.5
lcm of 50 &105 is 5250
multiply equation by 5250
50(860-x)+105x=5250 *9.5
43000-50x+105x=5250*9.5
55x=(5250*9.5)-43000
x= 125 miles by bus
860-125=735 miles by train
time on train = 735/105 = 7 hours