document.write( "Question 1197739: suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 20 mph faster than Train A. In 4.5 hours, the trains are 459 miles apart. Find the speed of each train. \n" ); document.write( "

Algebra.Com's Answer #831129 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "x mph      = speed of the slower train.\r\n" );
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document.write( "(x+20) mph = speed of the faster train.\r\n" );
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document.write( "Total distance equation\r\n" );
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document.write( "    4.5x + 4.5(x+20) = 459.\r\n" );
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document.write( "Divide both sides by 4.5\r\n" );
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document.write( "    x + (x+20) = 102\r\n" );
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document.write( "      2x       = 102 - 20 = 82\r\n" );
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document.write( "       x                  = 82/2 = 41.\r\n" );
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document.write( "ANSWER.  The speed of the slower train is 41 mph.  That of the faster train is 41+20 = 61 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For simple Travel & Distance problems, see introductory lessons \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( "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 and 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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