SOLUTION: Two passenger trains, A and B 450 km apart, start to move towards each other at the same time and meet after 2 hours. If train B, travels 8/7 as fast as train A. Find the speed of

Question 1141524: Two passenger trains, A and B 450 km apart, start to move towards each other at the same time and meet after 2 hours. If train B, travels 8/7 as fast as train A. Find the speed of each train.
Answer by ikleyn(53751) (Show Source): You can put this solution on YOUR website!
.

From the condition, the speeds of the trains A and B are 7x and 8x kilometers per hour, respectively, 

where x is the common measure of their speeds.


Therefore, for the total distance of 450 kilometers, you can write an equation


    2*(7x) + 2*(8x) = 450.


Simplify and solve for x


    14x + 16x = 450,

    30x       = 450,

      x       =  = 15.


ANSWER.  The train A speed is  7*15 = 105 kilometers per hour;  the train B speed is 8*15 = 120 kilometers per hour.

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