document.write( "Question 1105126: In a certain number of hours a woman traveled 5 km. If she had traveled 2 km more per hour, it would have taken her 3 h less to make the journey. How many kilometers did she travel per hour? (Keep three significant digits.) \n" ); document.write( "

Algebra.Com's Answer #719863 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Your \"time\" equation is\r\n" );
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document.write( " -  = 3    hours,\r\n" );
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document.write( "where x i the woman's normal rate of walking, in km/h.\r\n" );
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document.write( "Solve for x.\r\n" );
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document.write( "5*(x+2) - 5x = 3x*(x+2)\r\n" );
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document.write( "5x + 10 - 5x = 3x^2 + 6x,\r\n" );
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document.write( "3x^2 + 6x - 10 = 0  ====>\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Only positive root makes sense   =  = 1.0817 km/h.\r\n" );
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