document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968465>Question 968465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two pipes working together, can fill a tank in 20 minutes. working alone. the smaller pipe takes 42 minutes longer than the larger pipe to fill the tank. how long would it take the smaller pipe alone to fill the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591816 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=591816\">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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in minutes for the larger<BR>\n" );
document.write( "pipe to fill the tank<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+42+ ALIGN=MIDDLE  ALT=\"+t+%2B+42+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in minutes for the smaller pipe <BR>\n" );
document.write( "to fill the tank<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Add their rates to get rate working together<BR>\n" );
document.write( "Working together:<BR>\n" );
document.write( "[ 1 pipe filled ] / [ 20 min ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F+t+%2B+1%2F%28+t%2B42+%29+=+1%2F20+ ALIGN=MIDDLE  ALT=\"+1%2F+t+%2B+1%2F%28+t%2B42+%29+=+1%2F20+\"   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=+t%2A%28+t%2B42+%29%2A20+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B42+%29%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%2A%28+t%2B42+%29+%2B+20t+=+t%2A%28+t%2B42+%29+ ALIGN=MIDDLE  ALT=\"+20%2A%28+t%2B42+%29+%2B+20t+=+t%2A%28+t%2B42+%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+%2B+840+%2B+20t+=+t%5E2+%2B+42t+ ALIGN=MIDDLE  ALT=\"+20t+%2B+840+%2B+20t+=+t%5E2+%2B+42t+\"   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+%2B+2t+-+840+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+2t+-+840+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<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+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-840+ ALIGN=MIDDLE  ALT=\"+c+=+-840+\"   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+-2+%2B-+sqrt%28+2%5E2+-+4%2A1%2A%28-840%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-2+%2B-+sqrt%28+2%5E2+-+4%2A1%2A%28-840%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=+t+=+%28+-2+%2B-+sqrt%28+4+%2B+3360+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-2+%2B-+sqrt%28+4+%2B+3360+%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+-2+%2B-+sqrt%28+3364+%29+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-2+%2B-+sqrt%28+3364+%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+-2+%2B+58+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-2+%2B+58+%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+=+56%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+56%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+=+28+ ALIGN=MIDDLE  ALT=\"+t+=+28+\"   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=+t+%2B+42+=+70+ ALIGN=MIDDLE  ALT=\"+t+%2B+42+=+70+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The smaller pipe takes 70 min to fill the tank<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%2F+t+%2B+1%2F%28+t%2B42+%29+=+1%2F20+ ALIGN=MIDDLE  ALT=\"+1%2F+t+%2B+1%2F%28+t%2B42+%29+=+1%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F+28+%2B+1%2F70+=+1%2F20+ ALIGN=MIDDLE  ALT=\"+1%2F+28+%2B+1%2F70+=+1%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.035714+%2B+.014286+=+.05+ ALIGN=MIDDLE  ALT=\"+.035714+%2B+.014286+=+.05+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05+=+.05+ ALIGN=MIDDLE  ALT=\"+.05+=+.05+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );