document.write( "Question 529683: I am having trouble setting up an equation for the following: Together Bob and Dave can roof a house in 16 hours. By himself, Bob can roof the house in 4 hours less time than Dave can by himself. How long will it take Dave to roof the house by himself? \r
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document.write( "I am currently studying Quadratic equations and Radicals, so the answer to this might be in Radical form. I tried to assign x to Dave's time, and x-4 to Bob's time, and then average the sum of these. I then made this equal to 16, but I got 18 hours for Dave, and 14 for Bob, which is faster than the 2 of them working together (16)! Any help would be appreciated,\r
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document.write( "Thank you,
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document.write( "Kevin \n" );
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Algebra.Com's Answer #349663 by scott8148(6628) You can put this solution on YOUR website! they each do some FRACTION of the job, based on their individual rates \n" ); document.write( "___ the fractions sum to one, the WHOLE job\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(16 / x) + [16 / (x - 4)] = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by the LCD will generate your quadratic \n" ); document.write( " |