document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154635>Question 1154635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A homeowner estimates that it will take him 8 days to roof his house. A professional roofer estimates that he could roof the house in 5 days. How long will it take if the homeowner helps the roofer?<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777106 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=777106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Home owner's rate of working:<BR>\n" );
document.write( "[ 1 house roofed ] / [ 8 days ]<BR>\n" );
document.write( "Professional's rate of working:<BR>\n" );
document.write( "[ 1 house roofed ] / [ 5 days ]<BR>\n" );
document.write( "let their rate working together be:<BR>\n" );
document.write( "[ 1 house roofed ] / [ t days ]<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Add their rates to get rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F5+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F5+=+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=+40t+ ALIGN=MIDDLE  ALT=\"+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t+%2B+8t+=+40+ ALIGN=MIDDLE  ALT=\"+5t+%2B+8t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13t+=+40+ ALIGN=MIDDLE  ALT=\"+13t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3.077+ ALIGN=MIDDLE  ALT=\"+t+=+3.077+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.077 days<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%2F8+%2B+1%2F5+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F5+=+1%2Ft+\"   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+.2+=+1%2F3.077+ ALIGN=MIDDLE  ALT=\"+.125+%2B+.2+=+1%2F3.077+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.325+=+.32499+ ALIGN=MIDDLE  ALT=\"+.325+=+.32499+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The error is due to rounding off<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );