document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864356>Question 864356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem<BR>\n" );
document.write( "Suppose one carpet layer can carpet an entire house in  4 hours more than the second guy. It takes the two carpet layers together three hours to carpet the house. HOw long does it take each one alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520968 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=520968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of laying carpet to<BR>\n" );
document.write( "get their rate working together:<BR>\n" );
document.write( "2nd carpet layer:<BR>\n" );
document.write( "( 1 house ) / ( t hrs )<BR>\n" );
document.write( "1st carpet layer:<BR>\n" );
document.write( "( 1 house ) / ( t + 4 ) <BR>\n" );
document.write( "working together:<BR>\n" );
document.write( "( 1 house ) / ( 3 hrs )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t%2B4+%29+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t%2B4+%29+=+1%2F3+\"   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%2B4+%29%2A3+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B4+%29%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+t+%2B+4+%29+%2B+3t+=+t%2A%28+t%2B4+%29+ ALIGN=MIDDLE  ALT=\"+3%2A%28+t+%2B+4+%29+%2B+3t+=+t%2A%28+t%2B4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t+%2B+12+%2B+3t+=+t%5E2+%2B+4t+ ALIGN=MIDDLE  ALT=\"+3t+%2B+12+%2B+3t+=+t%5E2+%2B+4t+\"   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+-+2t+-+12+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+-+12+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+=+12+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+=+12+\"   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+-+2t+%2B+%28+-2%2F2+%29%5E2+=+12+%2B+%28+-2%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+%2B+%28+-2%2F2+%29%5E2+=+12+%2B+%28+-2%2F2+%29%5E2+\"   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+-+2t+%2B+1+=+12+%2B+1+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+%2B+1+=+12+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+1+%29%5E2+=+13+ ALIGN=MIDDLE  ALT=\"+%28+t+-+1+%29%5E2+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1+=+sqrt%2813%29+ ALIGN=MIDDLE  ALT=\"+t+-+1+=+sqrt%2813%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+=+sqrt%2813%29+%2B+1+ ALIGN=MIDDLE  ALT=\"+t+=+sqrt%2813%29+%2B+1+\"   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+4+=+sqrt%2813%29+%2B+1+%2B+4+ ALIGN=MIDDLE  ALT=\"+t+%2B+4+=+sqrt%2813%29+%2B+1+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "These are the answers in hours. Here's the plot <BR>\n" );
document.write( "of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+-+12+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+-+12+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-16%2C+10%2C+x%5E2+-+2x+-+12+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-16%2C+10%2C+x%5E2+-+2x+-+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the positive solution because you can't<BR>\n" );
document.write( "have negative time\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );