document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808614>Question 808614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two taps A and B are turned on together, they will fill a tank in 1 hour and 20 minutes. If tap A is turned on for 10 minutes and then tap B is turned on for 12 minutes, only 2/15 of the tank is filled. How long does each tap take to fill the tank alone?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #487227 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=487227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If two taps A and B are turned on together, they will fill a tank in 1 hour and 20 minutes.<BR>\n" );
document.write( "Change this to 80 minutes<BR>\n" );
document.write( "Let the full tank = 1<BR>\n" );
document.write( "The shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fa+ ALIGN=MIDDLE  ALT=\"80%2Fa+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fb ALIGN=MIDDLE  ALT=\"80%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by ab, resulting in <BR>\n" );
document.write( "80b + 80a = ab<BR>\n" );
document.write( ";<BR>\n" );
document.write( "If tap A is turned on for 10 minutes and then tap B is turned on for 12 minutes, only 2/15 of the tank is filled.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fa ALIGN=MIDDLE  ALT=\"10%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 15ab, resulting in:<BR>\n" );
document.write( "15b(10) + 15a(12) = 2ab<BR>\n" );
document.write( "150b + 180a = 2ab<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "75b + 90a = ab<BR>\n" );
document.write( "ab = ab therefore<BR>\n" );
document.write( "75b + 90a = 80b + 80a<BR>\n" );
document.write( "90a - 80a = 80b - 75b<BR>\n" );
document.write( "10a = 5b<BR>\n" );
document.write( "divide by 5<BR>\n" );
document.write( "2a = b<BR>\n" );
document.write( "Use the 1st equation, replace b with 2a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fa+ ALIGN=MIDDLE  ALT=\"80%2Fa+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F%282a%29 ALIGN=MIDDLE  ALT=\"80%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2a<BR>\n" );
document.write( "2(80) + 80 = 2a<BR>\n" );
document.write( "240 = 2a<BR>\n" );
document.write( "a = 240/2<BR>\n" );
document.write( "a = 120 min tap A alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(120) = 240 min tap B alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this on a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F120 ALIGN=MIDDLE  ALT=\"10%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F240 ALIGN=MIDDLE  ALT=\"12%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );