document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891131>Question 891131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cistern can be filled by two pipes. The small pipe will take 24 minutes longer than the bigger pipe to fill the cistern alone.The small pipe alone will take 32 minutes longer to fill the cistern than when the two pipes are working together. how long will it take the bigger pipe to fill the cistern alone?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539575 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=539575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in minutes for the big<BR>\n" );
document.write( "pipe to fill the cistern<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 both<BR>\n" );
document.write( "pipes filling together to fill cistern<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Small pipe's rate of filling = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+b+%2B+24+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+b+%2B+24+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Big pipes rate of filling = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fb+ ALIGN=MIDDLE  ALT=\"+1%2Fb+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "With both pipes filling:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fb+%2B+1%2F%28+b+%2B+24+%29+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2Fb+%2B+1%2F%28+b+%2B+24+%29+=+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=+b%2A%28+b+%2B+24+%29%2At+ ALIGN=MIDDLE  ALT=\"+b%2A%28+b+%2B+24+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+b+%2B+24+%29+%2B+t%2Ab+=+b%2A%28+b+%2B+24+%29+ ALIGN=MIDDLE  ALT=\"+t%2A%28+b+%2B+24+%29+%2B+t%2Ab+=+b%2A%28+b+%2B+24+%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%2A%28+2b+%2B+24+%29+=+%28+b%5E2+%2B+24b+%29+ ALIGN=MIDDLE  ALT=\"+t%2A%28+2b+%2B+24+%29+=+%28+b%5E2+%2B+24b+%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+b%5E2+%2B+24b+%29+%2F+%28+2b+%2B+24+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+b%5E2+%2B+24b+%29+%2F+%28+2b+%2B+24+%29+\"   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=+b+%2B+24+=++%28+b%5E2+%2B+24b+%29+%2F+%28+2b+%2B+24+%29++%2B+32+ ALIGN=MIDDLE  ALT=\"+b+%2B+24+=++%28+b%5E2+%2B+24b+%29+%2F+%28+2b+%2B+24+%29++%2B+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+b+%2B+24+%29%2A%28+2b+%2B+24+%29+=+b%5E2+%2B+24b+%2B+32%2A%28+2b+%2B+24+%29+ ALIGN=MIDDLE  ALT=\"+%28+b+%2B+24+%29%2A%28+2b+%2B+24+%29+=+b%5E2+%2B+24b+%2B+32%2A%28+2b+%2B+24+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2+%2B+48b+%2B+24b+%2B+576+=+b%5E2+%2B+24b+%2B+64b+%2B+768+ ALIGN=MIDDLE  ALT=\"+2b%5E2+%2B+48b+%2B+24b+%2B+576+=+b%5E2+%2B+24b+%2B+64b+%2B+768+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+%2B+72b+%2B+576+=+88b+%2B+768+ ALIGN=MIDDLE  ALT=\"+b%5E2+%2B+72b+%2B+576+=+88b+%2B+768+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+-+16b+-+192+=+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+-+16b+-+192+=+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=+b+=+%28-B+%2B-+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+ ALIGN=MIDDLE  ALT=\"+b+=+%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+=+-16+ ALIGN=MIDDLE  ALT=\"+B+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+-192+ ALIGN=MIDDLE  ALT=\"+C+=+-192+\"   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=+b+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2+-+4%2A1%2A%28-192%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2+-+4%2A1%2A%28-192%29+%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=+b+=+%28+16+%2B-+sqrt%28+256+%2B+768+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+b+=+%28+16+%2B-+sqrt%28+256+%2B+768+%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=+b+=+%28+16+%2B-+sqrt%28+1024+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+b+=+%28+16+%2B-+sqrt%28+1024+%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=+b+=+%28+16+%2B+32+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+b+=+%28+16+%2B+32+%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=+b+=+48%2F2+ ALIGN=MIDDLE  ALT=\"+b+=+48%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+24+ ALIGN=MIDDLE  ALT=\"+b+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "It will take the big pipe 24 minutes <BR>\n" );
document.write( "filling alone<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%2Fb+%2B+1%2F%28+b+%2B+24+%29+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2Fb+%2B+1%2F%28+b+%2B+24+%29+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2F%28+24+%2B+24+%29+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2F%28+24+%2B+24+%29+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2F48+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2F48+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+=+3%2F48+ ALIGN=MIDDLE  ALT=\"+1%2Ft+=+3%2F48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+48%2F3+ ALIGN=MIDDLE  ALT=\"+t+=+48%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+=+16+ ALIGN=MIDDLE  ALT=\"+t+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "This checks out- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+24+=+24+%2B+24+ ALIGN=MIDDLE  ALT=\"+b+%2B+24+=+24+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "the time for the small pipe filling alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+ ALIGN=MIDDLE  ALT=\"+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+32+ ALIGN=MIDDLE  ALT=\"+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes longer than<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+16+ ALIGN=MIDDLE  ALT=\"+t+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( both pipes filling together )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );