document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042119>Question 1042119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pipes together can fill the reservoir in 6 hours and 40 minutes. Find the time each alone will take to fill the reservoir if one of the pipes can fill it in 3 hours less than the other. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657067 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=657067\">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 hrs  to fill reservoir by <BR>\n" );
document.write( "the slower-filling pipe<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+3+ ALIGN=MIDDLE  ALT=\"+t+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs to fill reservoir by<BR>\n" );
document.write( "the faster-filling pipe<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Rate of filling by slower-filling pipe:<BR>\n" );
document.write( "[ 1 reservoir filled ] / [ t hrs ]<BR>\n" );
document.write( "Rate of filling by faster-filling pipe:<BR>\n" );
document.write( "[ 1 reservoir filled ] / [ t - 3 hrs ]<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Add the rates of filling to get the rate with<BR>\n" );
document.write( "both pipes filling together<BR>\n" );
document.write( "( first convert minutes to hrs )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-3+%29+=+1%2F6.667+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-3+%29+=+1%2F6.667+\"   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+%2B+1%2F%28+t-3+%29+=+3%2F20+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-3+%29+=+3%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-3+%29%2A20+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t-3+%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-3+%29+%2B+20t+=+3t%2A%28+t-3+%29+ ALIGN=MIDDLE  ALT=\"+20%2A%28+t-3+%29+%2B+20t+=+3t%2A%28+t-3+%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+-+60+%2B+20t+=+3t%5E2+-+9t+ ALIGN=MIDDLE  ALT=\"+20t+-+60+%2B+20t+=+3t%5E2+-+9t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%5E2+-+49t+%2B+60+=+0+ ALIGN=MIDDLE  ALT=\"+3t%5E2+-+49t+%2B+60+=+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+=+3+ ALIGN=MIDDLE  ALT=\"+a+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-49+ ALIGN=MIDDLE  ALT=\"+b+=+-49+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+60+ ALIGN=MIDDLE  ALT=\"+c+=+60+\"   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+-%28-49%29+%2B-+sqrt%28+%28-49%29%5E2-4%2A3%2A60+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-49%29+%2B-+sqrt%28+%28-49%29%5E2-4%2A3%2A60+%29%29%2F%282%2A3%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+49+%2B-+sqrt%28+2401+-+720+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+49+%2B-+sqrt%28+2401+-+720+%29%29%2F6+\"   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+49+%2B-+sqrt%28+1681+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+49+%2B-+sqrt%28+1681+%29%29%2F6+\"   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+49+%2B+41+%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+49+%2B+41+%29+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "( note that the negative square root will not work )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+90%2F6+ ALIGN=MIDDLE  ALT=\"+t+=+90%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+15+ ALIGN=MIDDLE  ALT=\"+t+=+15+\"   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+-+3+=+12+ ALIGN=MIDDLE  ALT=\"+t+-+3+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The pipes can fill the reservoir in 12 hrs and 15 hrs each<BR>\n" );
document.write( "working 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%2Ft+%2B+1%2F%28+t-3+%29+=+1%2F%28%2820%2F3%29%29+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-3+%29+=+1%2F%28%2820%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=+1%2F15+%2B+1%2F12+=+3%2F20+ ALIGN=MIDDLE  ALT=\"+1%2F15+%2B+1%2F12+=+3%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F60+%2B+5%2F60+=+9%2F60+ ALIGN=MIDDLE  ALT=\"+4%2F60+%2B+5%2F60+=+9%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F60+=+9%2F60+ ALIGN=MIDDLE  ALT=\"+9%2F60+=+9%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );