SOLUTION: An express train and a local train leave Kingston to travel to Negril. The express train can make the trip in 4 hours and the local train takes 5 hours for the trip. The speed of

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: An express train and a local train leave Kingston to travel to Negril. The express train can make the trip in 4 hours and the local train takes 5 hours for the trip. The speed of       Log On


   

Question 1188032: An express train and a local train leave Kingston to travel to Negril. The express train can make the trip in 4 hours and the local train takes 5 hours for the trip. The speed of the express train is 12 kilometers per hour faster than the speed of the local train.
What is the speed of both trains?
Answer by ikleyn(52786) About Me  (Show Source):
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An express train and a local train leave Kingston to travel to Negril. The express train can make the trip in 4 hours
and the local train takes 5 hours for the trip. The speed of the express train is 12 kilometers per hour faster
than the speed of the local train. What is the speed of highlight%28cross%28both%29%29 each trains?
~~~~~~~~~~~~~~~~~~~~~~~ 

Let x be the speed of the local train, in km/h

Then the speed of the express train is (x+12) km/h.


Write the distance equation


    4*(x+12) = 5x.


Simplify and find x


    4x + 48 = 5x

      48    = 5x - x

       x    = 48.


ANSWER.  The speed of the local train is  48 km/h;  the speed of the express train is 48+12 = 60 km/h.

Solved.

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