document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909185>Question 909185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pipes are used to fill a water tank. The first pipe can fill the tank in 4 hours. The two pipes together can fill the tank in 2 hrs less time than the second pipe alone. How long will it take for the second pipe to fill the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551662 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes are used to fill a water tank. The first pipe can fill the tank in 4 hours. The two pipes together can fill the tank in 2 hrs less time than the second pipe alone. How long will it take for the second pipe to fill the tank?\r<BR>\n" );
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document.write( "let filling the tank be considered as 1 job\r<BR>\n" );
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document.write( "The first pipe can fill the tank in 4 hours. <BR>\n" );
document.write( "so it does 1/4 of the job in 1 hour\r<BR>\n" );
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document.write( "let second pipe take x hours<BR>\n" );
document.write( "it does 1/x of the job in 1 hour\r<BR>\n" );
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document.write( "both pipes take x-2 hours<BR>\n" );
document.write( "they do 1/(x-2) of the job in 1 hour\r<BR>\n" );
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document.write( "1/4 + 1/x = 1/(x-2)\r<BR>\n" );
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document.write( "1/(x-2)-1/x =1/4\r<BR>\n" );
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document.write( "(x-x+2)/(x(x-2)) =1/4\r<BR>\n" );
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document.write( "2/(x(x-2))=1/4\r<BR>\n" );
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document.write( "x(x-2)=8<BR>\n" );
document.write( "x^2-2x=8\r<BR>\n" );
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document.write( "x^2-2x-8=0\r<BR>\n" );
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document.write( "x^2+4x-2x-8=0\r<BR>\n" );
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document.write( "x(x+4)-2(x+4)=0\r<BR>\n" );
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document.write( "(x-2)(x+4)=0<BR>\n" );
document.write( "x=2 OR -4<BR>\n" );
document.write( "ignore negative\r<BR>\n" );
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document.write( "x=2<BR>\n" );
document.write( "second pipe takes 2 hour\r<BR>\n" );
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document.write( " </SPAN>\n" );
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