document.write( "Question 903490: Two cyclists leave towns 90mi apart at the same time and travel toward each other. One cyclist travels 8 /mih faster than the other. If they meet in 3 hours, what is the rate of each cyclist? \n" ); document.write( "

Algebra.Com's Answer #852960 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "Two cyclists leave towns 90mi apart at the same time and travel toward each other.
\n" ); document.write( "One cyclist travels 8 miles per hour faster than the other.
\n" ); document.write( "If they meet in 3 hours, what is the rate of each cyclist?
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document.write( "Let x be the speed of the slower cyclist, in miles per hour.\r\n" );
document.write( "Then the speed of the faster cyclist is (x+8) miles per hour.\r\n" );
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document.write( "The sum of their distances must equal the total distance they were\r\n" );
document.write( "apart when they started.\r\n" );
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document.write( "            3x + 3(x+8) = 90\r\n" );
document.write( "           3x + 3x + 24 = 90 \r\n" );
document.write( "                6x + 24 = 90\r\n" );
document.write( "                     6x = 66\r\n" );
document.write( "                      x =  = 11 mph.\r\n" );
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document.write( "The slower cyclist was going 11 mph and the faster one was going\r\n" );
document.write( "8 mph faster or 19 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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