document.write( "Question 1137496: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this case? \n" ); document.write( "

Algebra.Com's Answer #755368 by ikleyn(52814) $\"\"$ $\"About$

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document.write( "Let x be the Kim's rate (the slower sister) in miles per hour.\r\n" );
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document.write( "Then the faster sister's rate is (x+3) miles per hour.\r\n" );
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document.write( "Karin spent  hours running.\r\n" );
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document.write( "Kim    spent    hours walking.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It is your basic equation.\r\n" );
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document.write( "It is called \"time\" equation, because its both sides represent time spent.\r\n" );
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document.write( "To solve the equation, cross multiply.  You will get\r\n" );
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document.write( "    12x = 8((x+3)\r\n" );
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document.write( "    12x = 8x + 24\r\n" );
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document.write( "    12x - 8x = 24\r\n" );
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document.write( "     4x      = 24\r\n" );
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document.write( "      x      = 24/4 = 6.\r\n" );
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document.write( "Answer.  Kim's rate is 6 miles per hour;  Karin's rate is 6+3 = 9 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "From my solution learn how to use, how to write and how to solve a \"time\" equation.\r
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