document.write( "Question 1163985: 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? \n" ); document.write( "

Algebra.Com's Answer #788258 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let d be the distance between the cities, in kilometres.\r\n" );
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document.write( "Then the rate of train A is    km/h;  the rate of the train B is   km/h.\r\n" );
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document.write( "The time from the start to the meeting point is the same, so the traveled distances    and  \r\n" );
document.write( "by the trains are in the same ratio as their rates\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "It implies  that the distance traveled by train A before they met was   = ;\r\n" );
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document.write( "                 the distance traveled by train B before they met was   = .\r\n" );
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document.write( "We are given that\r\n" );
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document.write( "     -  = 192.\r\n" );
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document.write( "It means that\r\n" );
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document.write( "     = 192;\r\n" );
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document.write( "hence,  d = 5*192 = 960 kilometers.\r\n" );
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document.write( "ANSWER.  The distance between the cities is 960 kilometers.\r\n" );
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