document.write( "Question 1111862: a passanger train and a freight train leave a station at the same time and travel in opposite directions. the passenger train travels 25 mph faster than the freight train. in 3 hours the trains are 315 miles apart. find the average speed of the passenger train and the average speed of the freight train. \n" ); document.write( "

Algebra.Com's Answer #726899 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Distance + distance = 315 miles\r\n" );
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document.write( "3*x      + 3*(x+25) = 315  miles    (<<<---=== x is the rate of the slower train)\r\n" );
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document.write( "3x       + 3x + 75  = 315\r\n" );
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document.write( "6x + 75 = 315  ====>  6x = 315 - 75 = 240  ====>  x =  = 40.\r\n" );
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document.write( "Answer.  Freight train rate is 40 mph.   Passenger train rate is  40 + 25 = 65 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( "Could you please post the message to me (through the \"Thank you\" window/form) saying if you did understand this solution.\r
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\n" ); document.write( "\n" ); document.write( "In this case, please refer to the problem ID number 1111862.
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