document.write( "Question 1025053: A train leaves Orlando at 1:00 PM. A second train leaves the same city in the same direction at 3:00 PM. The second train travels faster 12 mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains? \n" ); document.write( "
Algebra.Com's Answer #640359 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "A train leaves Orlando at 1:00 PM. A second train leaves the same city in the same direction at 3:00 PM.
\n" ); document.write( "The second train travels faster 12 mph faster than the first. If the second train overtakes the first at 10:00 PM,
\n" ); document.write( "what is the speed of each of the two trains?
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\n" ); document.write( "\n" ); document.write( "1-st train speed = 42 mph.
\n" ); document.write( "2-nd train speed = 54 mph.\r
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document.write( "Let u = first train' speed, in mph.\r\n" );
document.write( "Then the second train' speed is u+12 mph, according to the condition.\r\n" );
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document.write( "The first train traveled 9 hours before the second train overtakes the first one.\r\n" );
document.write( "During this time the first train covered the distance of 9*u miles.\r\n" );
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document.write( "The second train traveled 7 hours before overtakes the first one.\r\n" );
document.write( "During this time the second train covered the distance of 7*(u+12) miles.\r\n" );
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document.write( "These distances are the same. It gives you an equation\r\n" );
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document.write( "9u = 7*(u+12),   or \r\n" );
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document.write( "9u = 7u + 84  --->  2u = 84  --->  u = \"84%2F2\" = 42 mph.\r\n" );
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document.write( "Then u+12 = 54 mph.\r\n" );
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document.write( "The problem is solved.\r\n" );
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