document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108519>Question 1108519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days does it take to paint the building? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723509 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=723509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What fraction of the job does 1st painter<BR>\n" );
document.write( "get done in 3 days?<BR>\n" );
document.write( "His rate of painting is [ 1 building ] / [ 15 days ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F15%29%2A3+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+%281%2F15%29%2A3+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F5+ ALIGN=MIDDLE  ALT=\"+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the building<BR>\n" );
document.write( "left to paint<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Add their rates of painting to get their rate<BR>\n" );
document.write( "painting 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;\" > = their time in days to paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F5+ ALIGN=MIDDLE  ALT=\"+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of the building working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F15+%2B+1%2F10+=+%28%284%2F5%29%29%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F15+%2B+1%2F10+=+%28%284%2F5%29%29%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=+30t+ ALIGN=MIDDLE  ALT=\"+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2t+%2B+3t+=+24+ ALIGN=MIDDLE  ALT=\"+2t+%2B+3t+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t+=+24+ ALIGN=MIDDLE  ALT=\"+5t+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4.8+ ALIGN=MIDDLE  ALT=\"+t+=+4.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Add the 3days to 4.8 days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+4.8+=+7.8+ ALIGN=MIDDLE  ALT=\"+3+%2B+4.8+=+7.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It takes 7.8 days to paint the building<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check the math & get a 2nd opinion if needed\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );