document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358405>Question 358405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled in 2 hours by 2 pipes together.<BR>\n" );
document.write( "The larger pipe can fill it in 3 hours less than the smaller.<BR>\n" );
document.write( "How long will it take each 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 #255783 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=255783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> both together take 2 hours<BR>\n" );
document.write( "so they do 1/2 the job in1 hour<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let smaller pipe take x hours<BR>\n" );
document.write( "so it will do 1/x of the job in 1 hour<BR>\n" );
document.write( "..<BR>\n" );
document.write( "second pipe takes x-3 hours<BR>\n" );
document.write( "so it does 1/(x-3) of the job in 1 hour<BR>\n" );
document.write( "...<BR>\n" );
document.write( "1/x + 1/(x-3)=1/2<BR>\n" );
document.write( "x-3+x/x(x-3)=1/2<BR>\n" );
document.write( "2x-3=1/2* x(x-3)<BR>\n" );
document.write( "2(2x-3)=x(x-3)<BR>\n" );
document.write( "4x-6=x^2-3x<BR>\n" );
document.write( "x^2-3x-4x+6=0<BR>\n" );
document.write( "x^2-7x+6=0<BR>\n" );
document.write( "x^2-6x-x+6=0<BR>\n" );
document.write( "x(x-6)-1(x-6)=0<BR>\n" );
document.write( "(x-6)(x-1)=0<BR>\n" );
document.write( "x=1 OR 6<BR>\n" );
document.write( "x = 1 is not valid<BR>\n" );
document.write( "so x=6 hours taken by the pipe alone<BR>\n" );
document.write( "second pipe takes 6-3 = 3 hours to fill the tank<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );