SOLUTION: Two trains going in opposite directions leave at the same time. Train B travels 15 mph faster than train A. In 8 hours the trains are 1000 miles apart. Find the speed of each.

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Question 1153576: Two trains going in opposite directions leave at the same time. Train B travels 15 mph faster than train A. In 8 hours the trains are 1000 miles apart. Find the speed of each.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

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           =  = 55.


ANSWER.  The slower train rate is 55 mph.  The faster train rate is 55+15 = 70 mph.

Solved.

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