document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739725>Question 739725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally can clean the house in 8 hours, her father can clean the house in 6 hours, and her younger brother, Dennis, can completely mess up the house in 10 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451278 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=451278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add Sally and Father's rates of cleaning, then<BR>\n" );
document.write( "subtract Dennis's rate of messing up.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Sally's rate: ( 1 house cleaned ) / ( 8 hrs )<BR>\n" );
document.write( "Father's rate: ( 1 house cleaned ) / ( 6 hrs )<BR>\n" );
document.write( "Dennis's rate: ( 1 house messed up ) / ( 10 hrs )<BR>\n" );
document.write( "Rate with all 3 together: ( 1 house cleaned ) / ( t hrs )<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F6+-+1%2F10+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F6+-+1%2F10+=+1%2Ft+\"   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=+240t+ ALIGN=MIDDLE  ALT=\"+240t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30t+%2B+40t+-+24t+=+240+ ALIGN=MIDDLE  ALT=\"+30t+%2B+40t+-+24t+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+46t+=+240+ ALIGN=MIDDLE  ALT=\"+46t+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5.2174+ ALIGN=MIDDLE  ALT=\"+t+=+5.2174+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2174%2A60+=+13+ ALIGN=MIDDLE  ALT=\"+.2174%2A60+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately<BR>\n" );
document.write( "It will take 5 hrs and 13 min to clean the house<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F6+-+1%2F10+=+1%2F5.2174+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F6+-+1%2F10+=+1%2F5.2174+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.125+%2B+.16667+-+.1+=+.19167+ ALIGN=MIDDLE  ALT=\"+.125+%2B+.16667+-+.1+=+.19167+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.19167+=+.19167+ ALIGN=MIDDLE  ALT=\"+.19167+=+.19167+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );