document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672642>Question 672642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An oil tanker can be emptied by a main pump in 4hours an auxiliary pump can empty it in 9 hrs if the main pump is started at 9 am when should the auxiliary pump be started so the tanker will be empty by noon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418244 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=418244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 9 AM to noon is 3 hrs<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of hours the main pump<BR>\n" );
document.write( "is used pumping by itself<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+x+ ALIGN=MIDDLE  ALT=\"+3+-+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of hours that both pumps are pumping<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The main pump's rate of pumping is ( 1 tanker / 4 hrs )<BR>\n" );
document.write( "the auxilliary pump's rate is ( 1 tanker / 9 hrs )<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "( fraction of tanker pumped in x hrs ) + <BR>\n" );
document.write( "( fraction pumped by both pumps in 3-x hrs ) = 1 whole tanker pumped<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F4%29%2Ax+%2B+%28+1%2F9+%2B+1%2F4+%29%2A%28+3-x+%29+=+1+ ALIGN=MIDDLE  ALT=\"+%281%2F4%29%2Ax+%2B+%28+1%2F9+%2B+1%2F4+%29%2A%28+3-x+%29+=+1+\"   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=+36+ ALIGN=MIDDLE  ALT=\"+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+%28+4+%2B+9%29%2A%28+3-x+%29+=+36+ ALIGN=MIDDLE  ALT=\"+9x+%2B+%28+4+%2B+9%29%2A%28+3-x+%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+13%2A%28+3-x+%29+=+36+ ALIGN=MIDDLE  ALT=\"+9x+%2B+13%2A%28+3-x+%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+39+-+13x+=+36+ ALIGN=MIDDLE  ALT=\"+9x+%2B+39+-+13x+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4x+=+-3+ ALIGN=MIDDLE  ALT=\"+-4x+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+.75+ ALIGN=MIDDLE  ALT=\"+x+=+.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+x+=+2.25+ ALIGN=MIDDLE  ALT=\"+3+-+x+=+2.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The auxiliary pump should be started at 9:45<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "In 3/4 of an hour the main pump empties<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F4%29%2A%283%2F4%29+=+3%2F16+ ALIGN=MIDDLE  ALT=\"+%281%2F4%29%2A%283%2F4%29+=+3%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the tanker<BR>\n" );
document.write( "In 2.25 hrs, both together empty<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2F4+%2B+1%2F9+%29%2A%289%2F4%29+ ALIGN=MIDDLE  ALT=\"+%28+1%2F4+%2B+1%2F9+%29%2A%289%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+9%2F36+%2B+4%2F36+%29%2A81%2F36+ ALIGN=MIDDLE  ALT=\"+%28+9%2F36+%2B+4%2F36+%29%2A81%2F36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+13%2F36+%29%2A%28+81%2F36+%29+ ALIGN=MIDDLE  ALT=\"+%28+13%2F36+%29%2A%28+81%2F36+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+13%2A81+%29+%2F+%28+36%5E2+%29+ ALIGN=MIDDLE  ALT=\"+%28+13%2A81+%29+%2F+%28+36%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1053+%2F+1296+ ALIGN=MIDDLE  ALT=\"+1053+%2F+1296+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13%2F16+ ALIGN=MIDDLE  ALT=\"+13%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13%2F16+%2B+3%2F16+=+1+ ALIGN=MIDDLE  ALT=\"+13%2F16+%2B+3%2F16+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );