document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675257>Question 675257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pipes are used to fill a water storage tank. The first pipe can fill the tank in 4 hours, and the two pipes together can fill the tank in 2 hours less time than the second pipe alone. How long would it take for the second pipe to fill the tank?<BR>\n" );
document.write( "If you could solve in quadratics, that would be best. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419679 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes are used to fill a water storage tank. The first pipe can fill the tank in 4 hours, and the two pipes together can fill the tank in 2 hours less time than the second pipe alone. How long would it take for the second pipe to fill the tank?<BR>\n" );
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document.write( "1st pipe rate is 1/4 job/hr<BR>\n" );
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document.write( "2nd pipe rate is 1/x job/hr<BR>\n" );
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document.write( "Together rate is 1/(x-2) job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
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document.write( "1/4 + 1/x = 1/(x-2)<BR>\n" );
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document.write( "x(x-2) + 4(x-2) = 4x<BR>\n" );
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document.write( "x^2 - 2x + 4x-8 = 4x<BR>\n" );
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document.write( "x^2 -2x - 8 = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x-4)(x+2) = 0<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = 4 hrs (time for the 2nd pipe to do the job)<BR>\n" );
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document.write( "x-2 = 2 hrs (time for the 2 pipes to do the job together)<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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