document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941794>Question 941794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A full bathtub is empty at an average rate of 10 minutes. It will fill up to full at an average rate of 8 minutes if the plug is in. How long will it take to fill up to full if the plug is removed and the tap is turned on?\r<BR>\n" );
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document.write( "Please provide solution steps.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574133 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate of emptying:<BR>\n" );
document.write( "( 1 tub ) / ( 10 min )<BR>\n" );
document.write( "Rate of filling with plug in:<BR>\n" );
document.write( "( 1 tub ) / ( 8 min )<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "What you have to realize at this point is<BR>\n" );
document.write( "that the rate of filling is greater than the<BR>\n" );
document.write( "rate of emptying, so if you pull the plug<BR>\n" );
document.write( "out, the tub will EVENTUALLY fill up.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in minutes for the tub<BR>\n" );
document.write( "to fill if the tap is on and the plug is removed<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Add the rate of filling<BR>\n" );
document.write( "Subtract the rate of emptying<BR>\n" );
document.write( "Make that equal to:<BR>\n" );
document.write( "( 1 tub filled ) / ( t min ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+-+1%2F10+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F8+-+1%2F10+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40t+ ALIGN=MIDDLE  ALT=\"+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t+-+4t+=+40+ ALIGN=MIDDLE  ALT=\"+5t+-+4t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+40+ ALIGN=MIDDLE  ALT=\"+t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "In 40 min the tub will fill if the tap is <BR>\n" );
document.write( "on and the plug is removed<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+-+1%2F10+=+1%2F40+ ALIGN=MIDDLE  ALT=\"+1%2F8+-+1%2F10+=+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F40+-+4%2F40+=+1%2F40+ ALIGN=MIDDLE  ALT=\"+5%2F40+-+4%2F40+=+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F40+=+1%2F40+ ALIGN=MIDDLE  ALT=\"+1%2F40+=+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );