document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117528>Question 1117528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it takes pump A two hours less time than Pump B to empty a swimming pool. Pump A is started at 8:00 am and pump B is started at 10:00. At 12:00 pm, 60% of the pool is empty when pump B book down. How much time at 12 pm would it take pump A to empty the pool?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732632 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D=t%5BB%5D-2 ALIGN=MIDDLE  ALT=\"t%5BA%5D=t%5BB%5D-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D%2At%5BA%5D=100 ALIGN=MIDDLE  ALT=\"R%5BA%5D%2At%5BA%5D=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D=100%2Ft%5BA%5D ALIGN=MIDDLE  ALT=\"R%5BA%5D=100%2Ft%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D%2At%5BB%5D=100 ALIGN=MIDDLE  ALT=\"R%5BB%5D%2At%5BB%5D=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D=100%2Ft%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BB%5D=100%2Ft%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D=100%2F%28t%5BA%5D%2B2%29 ALIGN=MIDDLE  ALT=\"R%5BB%5D=100%2F%28t%5BA%5D%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So at 12:00PM, Pump A has worked for 4 hours, Pump B for 2 hours to get 60% out.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D%2A4%2BR%5BB%5D%2A2=%2860%2F100%29100 ALIGN=MIDDLE  ALT=\"R%5BA%5D%2A4%2BR%5BB%5D%2A2=%2860%2F100%29100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4R%5BA%5D%2B2R%5BB%5D=60 ALIGN=MIDDLE  ALT=\"4R%5BA%5D%2B2R%5BB%5D=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R%5BA%5D%2BR%5BB%5D=30 ALIGN=MIDDLE  ALT=\"2R%5BA%5D%2BR%5BB%5D=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28100%2Ft%5BA%5D%29%2B100%2F%28t%5BA%5D%2B2%29=30 ALIGN=MIDDLE  ALT=\"2%28100%2Ft%5BA%5D%29%2B100%2F%28t%5BA%5D%2B2%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Ft%5BA%5D%2B10%2F%28t%5BA%5D%2B2%29=3 ALIGN=MIDDLE  ALT=\"20%2Ft%5BA%5D%2B10%2F%28t%5BA%5D%2B2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%28t%5BA%5D%2B2%29%2B10t%5BA%5D=3t%5Ba%5D%28t%5Ba%5D%2B2%29 ALIGN=MIDDLE  ALT=\"20%28t%5BA%5D%2B2%29%2B10t%5BA%5D=3t%5Ba%5D%28t%5Ba%5D%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t%5BA%5D%2B40%2B10t%5BA%5D=3t%5BA%5D%5E2%2B6t%5BA%5D ALIGN=MIDDLE  ALT=\"20t%5BA%5D%2B40%2B10t%5BA%5D=3t%5BA%5D%5E2%2B6t%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3t%5BA%5D%5E2-24t%5BA%5D-40=0 ALIGN=MIDDLE  ALT=\"3t%5BA%5D%5E2-24t%5BA%5D-40=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D%5E2-8t%5BA%5D-40%2F3=0 ALIGN=MIDDLE  ALT=\"t%5BA%5D%5E2-8t%5BA%5D-40%2F3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D%5E2-8t%5BA%5D%2B16-40%2F3=16 ALIGN=MIDDLE  ALT=\"t%5BA%5D%5E2-8t%5BA%5D%2B16-40%2F3=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5BA%5D-4%29%5E2=48%2F3%2B40%2F3 ALIGN=MIDDLE  ALT=\"%28t%5BA%5D-4%29%5E2=48%2F3%2B40%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5BA%5D-4%29%5E2=88%2F3 ALIGN=MIDDLE  ALT=\"%28t%5BA%5D-4%29%5E2=88%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D-4=0+%2B-+sqrt%2888%2F3%29 ALIGN=MIDDLE  ALT=\"t%5BA%5D-4=0+%2B-+sqrt%2888%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D=4+%2B-+sqrt%2888%2F3%29 ALIGN=MIDDLE  ALT=\"t%5BA%5D=4+%2B-+sqrt%2888%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only positive solutions allowed,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D=4%2Bsqrt%2888%2F3%29 ALIGN=MIDDLE  ALT=\"t%5BA%5D=4%2Bsqrt%2888%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then we need to find the new time, T, it takes Pump A to empty the remaining 40% of the pool.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D%2AT=%2840%2F100%29100 ALIGN=MIDDLE  ALT=\"R%5BA%5D%2AT=%2840%2F100%29100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D%2AT=40 ALIGN=MIDDLE  ALT=\"R%5BA%5D%2AT=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%2FR%5BA%5D ALIGN=MIDDLE  ALT=\"T=40%2FR%5BA%5D\"   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%28t%5BA%5D%2F100%29 ALIGN=MIDDLE  ALT=\"T=40%28t%5BA%5D%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=%282%2F5%29%284%2Bsqrt%2888%2F3%29%29 ALIGN=MIDDLE  ALT=\"T=%282%2F5%29%284%2Bsqrt%2888%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=%282%2F5%29%284%2B%282%2F3%29sqrt%2866%29%29 ALIGN=MIDDLE  ALT=\"T=%282%2F5%29%284%2B%282%2F3%29sqrt%2866%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28T=8%2F5%2B%284%2F15%29sqrt%2866%29%29 ALIGN=MIDDLE  ALT=\"highlight%28T=8%2F5%2B%284%2F15%29sqrt%2866%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hrs ALIGN=MIDDLE  ALT=\"hrs\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );