Question 1153576
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<pre>

Let x be the rate of the slower train, in miles per hour.


Then the rate of the faster train is (x+15) mph, according to the condition.


The full distance equation is


    8x + 8*(x+15) = 1000.


Simplify and solve for x


    8x + 8x + 120 = 1000

    16x           = 1000 - 120

    16x           = 880

      x           = {{{880/16}}} = 55.


<U>ANSWER</U>.  The slower train rate is 55 mph.  The faster train rate is 55+15 = 70 mph.
</pre>

Solved.


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