document.write( "Question 1058008: Two cyclists, 25 KM apart set out at the same time and meet in 50 minutes. Had they been cycling in the same direction the faster would have overtaken the slower in 5 hours. Find their cycling speeds. \n" ); document.write( "

Algebra.Com's Answer #673029 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Two cyclists, 25 KM apart set out at the same time and meet in 50 minutes. Had they been cycling in the same direction
\n" ); document.write( "the faster would have overtaken the slower in 5 hours. Find their cycling speeds.
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document.write( "Moving toward each other:\r\n" );
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document.write( " = 25,   which is the same as\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = 30  .         (1)\r\n" );
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document.write( "Moving in one direction:\r\n" );
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document.write( " = ,   which is the same as\r\n" );
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document.write( "25 = ,   or\r\n" );
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document.write( " = = 5 .      (2)\r\n" );
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document.write( "where  is the faster' speed and  is the slower' speed, in .\r\n" );
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document.write( "Rewrite (1) and (2) as the system:\r\n" );
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document.write( " = 30,        (1')\r\n" );
document.write( " =  5.        (2')\r\n" );
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document.write( "Add the two equations (1') and (2'). You will get\r\n" );
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document.write( " = 35  --->   = 17.5 .\r\n" );
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document.write( "Then  = 30 - 17.5 = 12.5 \r\n" );
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document.write( "Answer.  Faster 17.5 ; slower 12.5 .\r\n" );
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