document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890174>Question 890174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tyrone and Lance can clean the house in 8 hours if they work together.If it takes Tyrone 4 hours more to clean the house compared to Lance, how long does it take Tyrone to clean the house alone? How about Lance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539120 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tyrone and Lance can clean the house in 8 hours if they work together.If it takes Tyrone 4 hours more to clean the house compared to Lance, how long does it take Tyrone to clean the house alone? How about Lance?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=hours Lance can clean the house alone<BR>\n" );
document.write( "1/x=his work rate<BR>\n" );
document.write( "x+4=hours Tyrone can clean the house alone<BR>\n" );
document.write( "1/(x+4)=his work rate<BR>\n" );
document.write( "8=hours Lance and Tyrone can clean the house working together<BR>\n" );
document.write( "1/8=their work rate<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sum of individual work rates=work rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2F%28x%2B4%29=1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F%28x%2B4%29=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "lcd:x(x+4)<BR>\n" );
document.write( "x+4+x=(x^2+4x)/8<BR>\n" );
document.write( "16x+32=x^2+4x<BR>\n" );
document.write( "x^2-12x-32=0<BR>\n" );
document.write( "solve for x by quadratic formula:<BR>\n" );
document.write( "x&#8776;-2.24 (reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x&#8776;14.25<BR>\n" );
document.write( "x+4&#8776;18.25<BR>\n" );
document.write( "hours Tyrone can clean the house alone=18.25<BR>\n" );
document.write( "hours Lance can clean the house alone=14.25<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );