document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503644>Question 503644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min. If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339336 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=339336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min.<BR>\n" );
document.write( " If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time to fill the tub with both faucets and drain open<BR>\n" );
document.write( "Let a full tub = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 60, to clear the denominators<BR>\n" );
document.write( "60*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 60*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 60*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "cancel the denominators and you have:<BR>\n" );
document.write( "5t + 6t - 10t = 60<BR>\n" );
document.write( "11t - 10t = 60<BR>\n" );
document.write( "t = 60 minutes </SPAN>\n" );
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