document.write( "Question 1171984: marcus and beth leave college traveling in opposite directions on a straight road beth drives 13 mi/h faster the marcus after 4 hours they are 452 miles apart find their rates \n" ); document.write( "

Algebra.Com's Answer #796892 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "Let r be the Markus rate;  then the Beth rate is (r+13) mph.\r\n" );
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document.write( "The total separating distance is  4r + 4*(r+13) miles,\r\n" );
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document.write( "and it is equal to 452 miles.  So your base equation is\r\n" );
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document.write( "    4r + 4*(r+13) = 452  miles.\r\n" );
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document.write( "Simplify and find r\r\n" );
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document.write( "    4r + 4r + 52 = 6730\r\n" );
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document.write( "    8r           = 452 - 52 = 400\r\n" );
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document.write( "     r                      = 400/8 = 50 miles per hour.\r\n" );
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document.write( "ANSWER.  The Markus rate is  50 mph.\r\n" );
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document.write( "         The Beth rate is  50 + 13 = 63 mph.\r\n" );
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document.write( "CHECK.  4*50 + 4*63 = 452 miles separating distance in 4 hours.   ! Correct !\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( "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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