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
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "Pls help me.. Thank u, thank u.
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Algebra.Com's Answer #458651 by nerdybill(7384)\"\" \"About 
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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
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\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
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\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)
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\n" ); document.write( "Pipe A alone:
\n" ); document.write( "x+5 = 10+5 = 15 hours
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