document.write( "Question 1167722: Two cyclists start from the same point and ride in opposite directions. One cyclist. One cyclist rides twice as fast as the other. In 3 h, they are 90 mi apart. Find the rate of each cyclist. \n" ); document.write( "

Algebra.Com's Answer #792317 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let r be the rate of the slower cyclist, in miles per hour (mph)\r\n" );
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document.write( "Then the rate of the faster cyclist is 2x mph.\r\n" );
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document.write( "For the total distance, you have then this equation\r\n" );
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document.write( "    3x + 3*(2x) = 90  miles,  or\r\n" );
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document.write( "    3x + 6x = 90\r\n" );
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document.write( "    9x      = 90\r\n" );
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document.write( "     x      = 90/9 = 10.\r\n" );
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document.write( "ANSWER.  The rate of the slower cyclist is 10 mph;  that of the faster cyclist is 2*10 = 20 mph.\r\n" );
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