document.write( "Question 1112437: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 20miles per hour faster than the eastboundtrain. If the two trains are 600miles apart after 4hours, what is the rate of the westbound train? \n" ); document.write( "

Algebra.Com's Answer #727488 by ikleyn(53765) $\"\"$ $\"About$

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document.write( "Let \"r\" be the rate of the slower train, in miles per hour.\r\n" );
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document.write( "Then the rate of the faster train is (r+20) mph.\r\n" );
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document.write( "The distance covered by the slower train in 4 hours is 4r miles.\r\n" );
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document.write( "The distance covered by the faster train in 4 hours is 4*(r+20) miles.\r\n" );
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document.write( "Since the trains move in opposite directions, the distance between them is the sum of the two distances above.\r\n" );
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document.write( "It gives you an equation \r\n" );
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document.write( "4r + 4*(r+20) = 600.\r\n" );
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document.write( "Simplify and solve for \"r\":\r\n" );
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document.write( "4r + 4r + 80 = 600\r\n" );
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document.write( "8r = 600 - 80 = 520\r\n" );
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document.write( "r =  = 65.\r\n" );
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document.write( "Answer. The rate of the slower train is 65 mph.  The rate of the faster train is 65+20 = 85 mph.\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
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\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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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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\n" ); document.write( "\n" ); document.write( "Be aware:   the solution by @josgarithmetic is   W R O N G   and   I R R E L E V A N T.\r
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\n" ); document.write( "\n" ); document.write( "For your safety, simply ignore it.\r
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