document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945590>Question 945590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it takes shawn 9 more hour to paint a house than michelle. together it takes them 10.8 hours to complete work. How long would it take Shawn to paint the house by himself. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576786 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=576786\">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;\" > = Michelle's time to paint a house in hours<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+9+ ALIGN=MIDDLE  ALT=\"+t+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Shawn's time to paint a house in hours<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "( 1 house ) / ( t hours ) = Michelle's rate of painting<BR>\n" );
document.write( "( 1 house ) / ( t + 9 hours ) = Shawn's rate of painting<BR>\n" );
document.write( "( 1 house ) / ( 10.8 hours ) = their rate painting together<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Add their rates of painting to get their rate painting together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1+%2F+%28+t+%2B+9+%29+=+1+%2F+10.8+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1+%2F+%28+t+%2B+9+%29+=+1+%2F+10.8+\"   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=+10.8%2At%2A%28+t%2B+9+%29+ ALIGN=MIDDLE  ALT=\"+10.8%2At%2A%28+t%2B+9+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10.8%2A%28+t+%2B+9+%29+%2B+10.8t+=+t%2A%28+t+%2B+9+%29+ ALIGN=MIDDLE  ALT=\"+10.8%2A%28+t+%2B+9+%29+%2B+10.8t+=+t%2A%28+t+%2B+9+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10.8t+%2B+97.2+%2B+10.8t+=+t%5E2+%2B+9t+ ALIGN=MIDDLE  ALT=\"+10.8t+%2B+97.2+%2B+10.8t+=+t%5E2+%2B+9t+\"   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+9t+-+21.6t+-+97.2+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+9t+-+21.6t+-+97.2+=+0+\"   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+-+12.6t+-+97.2+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+12.6t+-+97.2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Use the 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++-12.6+ ALIGN=MIDDLE  ALT=\"+b++-12.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-97.2+ ALIGN=MIDDLE  ALT=\"+c+=+-97.2+\"   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-%28-12.6%29+%2B-+sqrt%28+%28-12.6%29%5E2+-+4%2A1%2A%28-97.2%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE   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+12.6+%2B-+sqrt%28+158.76+%2B+388.8+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+12.6+%2B-+sqrt%28+158.76+%2B+388.8+%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+12.6+%2B-+sqrt%28+547.56+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+12.6+%2B-+sqrt%28+547.56+%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+12.6+%2B+23.4+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+12.6+%2B+23.4+%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+=+36%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+36%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( can't use the negative square root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+18+ ALIGN=MIDDLE  ALT=\"+t+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+9+=+27+ ALIGN=MIDDLE  ALT=\"+t+%2B+9+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shawn takes 27 hrs to paint the house by himself<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+%2B+9+%29+=+1+%2F+10.8+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1+%2F+%28+t+%2B+9+%29+=+1+%2F+10.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F18+%2B+1+%2F+27+=+1+%2F+10.8+ ALIGN=MIDDLE  ALT=\"+1%2F18+%2B+1+%2F+27+=+1+%2F+10.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+ ALIGN=MIDDLE  ALT=\"+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+%2B+1%2F3+=+1%2F1.2+ ALIGN=MIDDLE  ALT=\"+1%2F2+%2B+1%2F3+=+1%2F1.2+\"   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=+1%2F10+ ALIGN=MIDDLE  ALT=\"+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F30+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F30+=+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=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+2+=+5+ ALIGN=MIDDLE  ALT=\"+3+%2B+2+=+5+\"   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" );