Algebra.Com's Answer #644177 by ikleyn(52790)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A biker decided to cover the distance of 120 km at a certain speed. However, he actually went 6 km/h slower
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document.write( "so he arrived at his destination 1 hour later than he wanted to. What was the actual speed of the biker?
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document.write( "PS:If x is the actual speed of the biker, then what is the equation?
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document.write( "Let x be the actual speed of the biker, in  .\r\n" );
document.write( "Then his planned speed was (x+6).\r\n" );
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document.write( "So he planned to spend  hours, but actually spent  , which is in 1 hour more.\r\n" );
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document.write( "Thus you have this equation\r\n" );
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document.write( " - = 1.\r\n" );
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document.write( "To solve it for x , multiply both sides by x*(x+6). You will get\r\n" );
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document.write( "120*(x+6) -120x = x*(x+6), or\r\n" );
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document.write( "120*6 = x*(x+6), or\r\n" );
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document.write( " =  .\r\n" );
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document.write( "Factor left sides:\r\n" );
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document.write( "(x-24)*(x+30) = 0.\r\n" );
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document.write( "The roots are x = 24 and x = -30.\r\n" );
document.write( "Only positive x = 24 fits.\r\n" );
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document.write( "Answer. The actual speed of the biker is 24 . \r\n" );
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document.write( "Please check it yourself.\r\n" );
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