document.write( "Question 753852: Hi there, i hope someone could help me solve this problem.. Pls kindly give me a detailed explanation on how to solve this problem, especially at clearing of fraction part.. \r
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document.write( "pipe A can fill a tank in 5 hours more than pipe B. If both pipes are used simultaneously, it will take 6 hours to fill that same tank.. How long will it take for pipe A alone to fill that tank, and how long will it take for pipe B alone?\r
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document.write( "Pls help me.. Thank u, thank u. \n" );
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Algebra.Com's Answer #458651 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! pipe A can fill a tank in 5 hours more than pipe B. If both pipes are used simultaneously, it will take 6 hours to fill that same tank.. How long will it take for pipe A alone to fill that tank, and how long will it take for pipe B alone? \n" ); document.write( "time * rate = amount done \n" ); document.write( ". \n" ); document.write( "Let x = hours it takes pipe B alone \n" ); document.write( "then \n" ); document.write( "x+5 = hours it takes pipe A alone \n" ); document.write( ". \n" ); document.write( "6(1/x + 1/(x+5))= 1 \n" ); document.write( "multiplying both sides by (x)(x+5): \n" ); document.write( "6((x+5) + x)= (x)(x+5) \n" ); document.write( "6(2x+5)= x^2+5x \n" ); document.write( "12x+30 = x^2+5x \n" ); document.write( "30 = x^2-7x \n" ); document.write( "0 = x^2-7x-30 \n" ); document.write( "0 = (x+3)(x-10) \n" ); document.write( "x = {-3, 10} \n" ); document.write( "throw out the negative solution (extraneous) leaving: \n" ); document.write( "x = 10 hours (time it takes pipe B alone) \n" ); document.write( ". \n" ); document.write( "Pipe A alone: \n" ); document.write( "x+5 = 10+5 = 15 hours \n" ); document.write( " |