Question 1200262: Wendy took a trip from one city to another, a distance of 330 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 30 mi/h, and the train averaged 65 mi/h. The entire trip took
7 1/2 h. How long did Wendy spend on the train?
Answer by ikleyn(52863)   (Show Source):
You can put this solution on YOUR website! .
Wendy took a trip from one city to another, a distance of 330 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 30 mi/h, and the train averaged 65 mi/h. The entire trip took
7 1/2 h. How long did Wendy spend on the train?
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First, 7 1/2 hours = 7.5 hours.
Second, let x be the time spent on the train.
Then the time spent on the bus is (7.5-x) hours.
The distanse traveled by the train was 65x miles (the speed times hours).
The distanse traveled by the bus was 30*(7.5-x) miles (the speed times hours, again).
The total distance equation is
65x + 30*(7.5-x) = 330 miles.
Simplify and find x
65x + 225 - 30x = 330
65x - 30x = 330 - 225
35x = 105
x = 105/35 = 3.
ANSWER. Wendy spent 3 hours on the train.
CHECK. 65*3 + (7.5-3)*30 = 330 miles, the total distance. ! correct !
Solved.
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