document.write( "Question 1153576: Two trains going in opposite directions leave at the same time. Train B travels 15 mph faster than train A. In 8 hours the trains are 1000 miles apart. Find the speed of each. \n" ); document.write( "

Algebra.Com's Answer #775832 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let x 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 (x+15) mph, according to the condition.\r\n" );
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document.write( "The full distance equation is\r\n" );
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document.write( "    8x + 8*(x+15) = 1000.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    8x + 8x + 120 = 1000\r\n" );
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document.write( "    16x           = 1000 - 120\r\n" );
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document.write( "    16x           = 880\r\n" );
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document.write( "      x           =  = 55.\r\n" );
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document.write( "ANSWER.  The slower train rate is 55 mph.  The faster train rate is 55+15 = 70 mph.\r\n" );
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\n" ); document.write( "\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( "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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