SOLUTION: An express train and a charter bus leave Chicago to travel to Champaign. The express train can make the trip in two hours and the bus takes five hours for the trip. The speed of th

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An express train and a charter bus leave Chicago to travel to Champaign. The express train can make the trip in two hours and the bus takes five hours for the trip. The speed of th      Log On


   

Question 1170394: An express train and a charter bus leave Chicago to travel to Champaign. The express train can make the trip in two hours and the bus takes five hours for the trip. The speed of the express train is 42 miles per hour faster than the speed of the bus. Find the speed of the bus?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the speed of the bus, in miles per hour.

Then the speed of the train is (x+42) miles per hour.


Then you write this "distance" equation

    5x = 2*(x + 42)


saying that the distance is the same.


Simplify and solve

    5x = 2x + 84

    5x - 2x = 84

    3x      = 84

     x      = 84/3 = 28.


ANSWER.  The bus speed is 28 miles per hour.

Solved.