document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971683>Question 971683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A father and his son clean the house together in 6 hours. When son works alone, it take him an hour longer to clean than his dad alone. Find out how long it takes the son to clean alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594090 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=594090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of cleaning to get their<BR>\n" );
document.write( "rate cleaning together<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;\" > = dad's time in hrs  to clean house<BR>\n" );
document.write( "working alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+1+ ALIGN=MIDDLE  ALT=\"+t+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = son's time in hrs to clean house<BR>\n" );
document.write( "working alone<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "[ 1 house cleaned ] / [ t hrs ] + [ 1 house cleaned ] / [ t + 1 hrs ] =<BR>\n" );
document.write( "[ 1 house cleaned ] / [ 6 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+%2B+1+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+1+%29+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multip[ly both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t%2B1+%29%2A6+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B1+%29%2A6+\"   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%2B1+%29%2A6+%2B+6t+=+t%2A%28+t%2B1+%29+ ALIGN=MIDDLE  ALT=\"+%28+t%2B1+%29%2A6+%2B+6t+=+t%2A%28+t%2B1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+%2B+6+%2B+6t+=+t%5E2+%2B+t+ ALIGN=MIDDLE  ALT=\"+6t+%2B+6+%2B+6t+=+t%5E2+%2B+t+\"   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+-+11t+-+6+=++0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+11t+-+6+=++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+=+-11+ ALIGN=MIDDLE  ALT=\"+b+=+-11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c=+-6+ ALIGN=MIDDLE  ALT=\"+c=+-6+\"   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+-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2+-+4%2A1%2A%28-6%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2+-+4%2A1%2A%28-6%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+11+%2B-+sqrt%28+121+%2B+24+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+11+%2B-+sqrt%28+121+%2B+24+%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+11+%2B-+sqrt%28+145+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+11+%2B-+sqrt%28+145+%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+11+%2B+12.042+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+11+%2B+12.042+%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+=+23.042+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+23.042+%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+=+11.521+ ALIGN=MIDDLE  ALT=\"+t+=+11.521+\"   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+1+=+12.521+ ALIGN=MIDDLE  ALT=\"+t+%2B+1+=+12.521+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.521%2A60+=+31.26+ ALIGN=MIDDLE  ALT=\"+.521%2A60+=+31.26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Working alone, the son takes about 12 hrs 31 min<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+1+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+1+%29+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F11.521+%2B+1%2F12.521+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F11.521+%2B+1%2F12.521+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0868+%2B+.0799+=+.16667+ ALIGN=MIDDLE  ALT=\"+.0868+%2B+.0799+=+.16667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1667+=+.16667+ ALIGN=MIDDLE  ALT=\"+.1667+=+.16667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );