Question 1163985
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The ratio of the times required for the two trains to make the whole trip is 8:12 = 2:3.<br>
That means the ratio of the speeds of the two trains is 3:2.<br>
Since the ratio of the speeds is 3:2, and since the times traveled (to the point where the trains meet) are the same, the distances the two trains travel are in the ratio 3:2.<br>
So let the distances traveled by the two trains be 3x and 2x.<br>
The difference between the two distances is then x; and we are told that difference is 192 km.  So x = 192.<br>
The total distance between the two cities is the sum of the distances the two trains traveled, which is 3x+2x=5x = 5(192) = 960 km.<br>
ANSWER: The distance between the cities is 960 km.<br>