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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