document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677481>Question 677481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When working together worker A and worker B take 8 hours to complete a project.Today they decide to work on the project separately. Worker A firsts works on the project for 6 hours,and then worker B finishes it in 12 hours. If worker A or worker B did the project alone, how long would it take for each of them to complete it?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420913 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=420913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When working together worker A and worker B take 8 hours to complete a project.<BR>\n" );
document.write( "Today they decide to work on the project separately. <BR>\n" );
document.write( "Worker A firsts works on the project for 6 hours,and <BR>\n" );
document.write( "then worker B finishes it in 12 hours.<BR>\n" );
document.write( " If worker A or worker B did the project alone, how long would it take for each of them to complete it?<BR>\n" );
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document.write( "let the completed job = 1<BR>\n" );
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document.write( "Working together <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FA ALIGN=MIDDLE  ALT=\"8%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FB ALIGN=MIDDLE  ALT=\"8%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Working separately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FA ALIGN=MIDDLE  ALT=\"6%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FB ALIGN=MIDDLE  ALT=\"12%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply the 1st equation by 3, the 2nd equation by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FA ALIGN=MIDDLE  ALT=\"24%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FB ALIGN=MIDDLE  ALT=\"24%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FA ALIGN=MIDDLE  ALT=\"12%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FB ALIGN=MIDDLE  ALT=\"24%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "----------------------------Subtraction eliminates B, find A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FA ALIGN=MIDDLE  ALT=\"12%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "A = 12 hrs alone<BR>\n" );
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document.write( "Use the 1st original equation to find B, replace A with 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F12 ALIGN=MIDDLE  ALT=\"8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FB ALIGN=MIDDLE  ALT=\"8%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 12B<BR>\n" );
document.write( "8B + 12(8) = 12B<BR>\n" );
document.write( "96 = 12B - 8B<BR>\n" );
document.write( "96 = 4B<BR>\n" );
document.write( "B = 96/4<BR>\n" );
document.write( "B = 24 hrs alone<BR>\n" );
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document.write( "Confirm this in the 2nd original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F12 ALIGN=MIDDLE  ALT=\"6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F24 ALIGN=MIDDLE  ALT=\"12%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".5 + .5 = 1<BR>\n" );
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