document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850108>Question 850108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A works alone, he would take 4 days<BR>\n" );
document.write( "more to complete the job than if both A<BR>\n" );
document.write( "and B worked together. If B worked alone,<BR>\n" );
document.write( "he would take 16 days more to complete<BR>\n" );
document.write( "the job than if A and B work together.<BR>\n" );
document.write( "How many days would they take to<BR>\n" );
document.write( "complete the work if both of them worked<BR>\n" );
document.write( "together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511972 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=511972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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;\" > = time in days for A and B <BR>\n" );
document.write( "to complete the work working together<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "A and B rate working together:<BR>\n" );
document.write( "( 1 job ) / t <BR>\n" );
document.write( "A's rate working alone:<BR>\n" );
document.write( "( 1 job ) / ( t + 4 ) <BR>\n" );
document.write( "B's rate working alone:<BR>\n" );
document.write( "( 1 job ) / ( t + 16 ) <BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Add their rates to get their rate <BR>\n" );
document.write( "working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28+t+%2B+4+%29+%2B+1%2F%28+t+%2B+16+%29+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F%28+t+%2B+4+%29+%2B+1%2F%28+t+%2B+16+%29+=+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=+t%2A%28+t%2B4+%29%2A%28+t%2B16+%29+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B4+%29%2A%28+t%2B16+%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%2A%28+t%2B16+%29+%2B+t%2A%28+t%2B4+%29+=+%28+t%2B4+%29%2A%28+t%2B16+%29+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B16+%29+%2B+t%2A%28+t%2B4+%29+=+%28+t%2B4+%29%2A%28+t%2B16+%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%5E2+%2B+16t+%2B+t%5E2+%2B+4t+=+t%5E2+%2B+4t+%2B+16t+%2B+64+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+16t+%2B+t%5E2+%2B+4t+=+t%5E2+%2B+4t+%2B+16t+%2B+64+\"   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+=+64+ ALIGN=MIDDLE  ALT=\"+t%5E2+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+8+ ALIGN=MIDDLE  ALT=\"+t+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take them 8 days to complete the work<BR>\n" );
document.write( "if they work together<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%2F%28+t+%2B+4+%29+%2B+1%2F%28+t+%2B+16+%29+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F%28+t+%2B+4+%29+%2B+1%2F%28+t+%2B+16+%29+=+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=+1%2F%28+8+%2B+4+%29+%2B+1%2F%28+8+%2B+16+%29+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F%28+8+%2B+4+%29+%2B+1%2F%28+8+%2B+16+%29+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F12+%2B+1%2F24+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F12+%2B+1%2F24+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F24+%2B+1%2F24+=+3%2F24+ ALIGN=MIDDLE  ALT=\"+2%2F24+%2B+1%2F24+=+3%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );