document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899357>Question 899357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled in 12 minutes by two pipes running simultaneously. By the larger pipe it can be filled in 10 minutes less time than by the smaller. Find the time required for each to fill it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545317 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=545317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add the rate of filling of the 2 pipes<BR>\n" );
document.write( "to get the rate for both pipes together<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Rate for both pipes together:<BR>\n" );
document.write( "( 1 tank filled ) / ( 12 minutes to fill it )<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;\" > = time in minutes for the <BR>\n" );
document.write( "smaller pipe to fill tank<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Rate for smaller pipe:<BR>\n" );
document.write( "( 1 tank filled ) / ( t minutes )<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Rate for larger pipe:<BR>\n" );
document.write( "( 1 tank filled ) / ( t - 10 minutes )<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Doing the addition:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+-+10+%29+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+10+%29+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t+-+10+%29%2A12+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t+-+10+%29%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++12%2A%28+t-10+%29+%2B+12t++=++t%2A%28+t-10+%29++ ALIGN=MIDDLE  ALT=\"++12%2A%28+t-10+%29+%2B+12t++=++t%2A%28+t-10+%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t+-+120+%2B+12t+=+t%5E2+-+10t+ ALIGN=MIDDLE  ALT=\"+12t+-+120+%2B+12t+=+t%5E2+-+10t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+34t+%2B+120+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+34t+%2B+120+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Use quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-34+ ALIGN=MIDDLE  ALT=\"+b+=+-34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+120+ ALIGN=MIDDLE  ALT=\"+c+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-%28-34%29+%2B-+sqrt%28+%28-34%29%5E2+-+4%2A1%2A120+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-34%29+%2B-+sqrt%28+%28-34%29%5E2+-+4%2A1%2A120+%29%29+%2F+%282%2A1%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+=+%28+34+%2B-+sqrt%28+1156+-+480+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+34+%2B-+sqrt%28+1156+-+480+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+34+%2B-+sqrt%28+676+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+34+%2B-+sqrt%28+676+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+34+%2B+26+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+34+%2B+26+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+60%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+30+ ALIGN=MIDDLE  ALT=\"+t+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "There is another answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+34+-+26+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+34+-+26+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+8%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+8%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4+ ALIGN=MIDDLE  ALT=\"+t+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This answer is impossible, since it's faster filling<BR>\n" );
document.write( "than both pipe open together, so:<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+30+ ALIGN=MIDDLE  ALT=\"+t+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+10+=+20+ ALIGN=MIDDLE  ALT=\"+t+-+10+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The larger pipe fills the tank in 20 minutes<BR>\n" );
document.write( "The smaller pipe fills the tank in 30 minutes<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%2Ft+%2B+1%2F%28+t+-+10+%29+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+10+%29+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F30+%2B+1%2F20+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F30+%2B+1%2F20+=+1%2F12+\"   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=+180+ ALIGN=MIDDLE  ALT=\"+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+%2B+9+=+15+ ALIGN=MIDDLE  ALT=\"+6+%2B+9+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );