document.write( "Question 1115131: Train A leaves a station traveling at 40 mph. Six hours later, train B leaves the same station traveling in the same direction at 60 mph. How long does it take for train B to catch up to train A?
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Algebra.Com's Answer #730060 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "The distance of the train A from the station is 40*t.\r\n" );
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document.write( "The distance of the train B from the station is 60*(t-6).\r\n" );
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document.write( "At the catching moment the distances are the same\r\n" );
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document.write( "40t = 60*(t-6),\r\n" );
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document.write( "40t = 60t - 360\r\n" );
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document.write( "360 = 60t - 40t\r\n" );
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document.write( "20t = 360  ====>  t =  = 18.\r\n" );
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document.write( "Answer.  It will take train B 18-6 = 12 hours to catch up the train A.\r\n" );
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\n" ); document.write( "See introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.\r
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