document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163985>Question 1163985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two cities, A, and B. A fast train can go from A to B in 8 hours. A slow train can go from B to A in 12 hours. They start from the two cities toward each other at the same time. when they met, the fast train went 192 km more than the slow train. How far is it from A and B? </SPAN>\n" );
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document.write( "The ratio of the times required for the two trains to make the whole trip is 8:12 = 2:3.<br><BR>\n" );
document.write( "That means the ratio of the speeds of the two trains is 3:2.<br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "So let the distances traveled by the two trains be 3x and 2x.<br><BR>\n" );
document.write( "The difference between the two distances is then x; and we are told that difference is 192 km.  So x = 192.<br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "ANSWER: The distance between the cities is 960 km.<br><BR>\n" );
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