document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209637>Question 209637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular tank can be filled with water by two pipes in 11-1/9 minutes. If the larger pipe alone takes 5 minutes less to fill the tank than the smaller pipe,find the time each pipe takes 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 #158537 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular tank can be filled with water by two pipes in 11-1/9 minutes.<BR>\n" );
document.write( " If the larger pipe alone takes 5 minutes less to fill the tank than the smaller pipe,<BR>\n" );
document.write( "find the time each pipe takes to fill the tank.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Convert 11<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to an improper fractions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F9 ALIGN=MIDDLE  ALT=\"100%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = large pipe time alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+5) = small pipe time alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1; (full tank)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%2F9%29%2Ft ALIGN=MIDDLE  ALT=\"%28100%2F9%29%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%2F9%29%2F%28%28t%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28100%2F9%29%2F%28%28t%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply equation by t(t+5), results<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%28t%2B5%29%29%2F9 ALIGN=MIDDLE  ALT=\"%28100%28t%2B5%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100t%29%2F9 ALIGN=MIDDLE  ALT=\"%28100t%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t(t+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28100t%2B500%29%29%2F9 ALIGN=MIDDLE  ALT=\"%28%28100t%2B500%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100t%29%2F9 ALIGN=MIDDLE  ALT=\"%28100t%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t^2 + 5t<BR>\n" );
document.write( "Multiply eq by 9, results<BR>\n" );
document.write( "100t + 500 + 100t = 9(t^2 + 5t)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "200t + 500 = 9t^2 + 45t<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "9t^2 + 45t - 200t - 500 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "9t^2 - 155t - 500 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(9t + 25)(t - 20) = 0<BR>\n" );
document.write( "the positive solution:<BR>\n" );
document.write( "t = 20 minutes, the large pipe alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "20 + 5 = 25 min the small pipe<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution using a decimal for that annoying fraction<BR>\n" );
document.write( "11.11/20 + 11.11/25<BR>\n" );
document.write( ".555 + .444 = .999 ~ 1\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );