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 {{{highlight(cross(both))}}} <U>each</U> trains?
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<pre>
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.


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

Solved.


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For simple Travel & Distance problems, &nbsp;see introductory lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson>Travel and Distance problems</A>  

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems-for-two-bodies-moving-toward-each-other.lesson>Travel and Distance problems for two bodies moving in opposite directions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Typical-catching-up-Travel-and-Distance-problems.lesson>Travel and Distance problems for two bodies moving in the same direction (catching up)</A>

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