document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971641>Question 971641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A can finish a certain job in 10 days if B will help for 6 days. The same work can be done by B in 12 days if A helps for 6 days. If they work together, how long will it take for them to do the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594173 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=594173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A can finish a certain job in 10 days if B will help for 6 days.<BR>\n" );
document.write( " The same work can be done by B in 12 days if A helps for 6 days.<BR>\n" );
document.write( " <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = time required by A working alone<BR>\n" );
document.write( "let b = time required by B working alone<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each scenario scenario<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fa ALIGN=MIDDLE  ALT=\"10%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<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" );
document.write( "Use elimination, multiply the 1st equation by 2, subtract the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fa ALIGN=MIDDLE  ALT=\"20%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;\" > = 2<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" );
document.write( "------------------Subtraction eliminates b, find a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2Fa ALIGN=MIDDLE  ALT=\"14%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by a<BR>\n" );
document.write( "14 = a<BR>\n" );
document.write( "A requires 14 hrs to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find b using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fa ALIGN=MIDDLE  ALT=\"10%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; replace a with 14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F14 ALIGN=MIDDLE  ALT=\"10%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply eq by 14b<BR>\n" );
document.write( "10b + 14(6) = 14b<BR>\n" );
document.write( "84 = 14b - 10b<BR>\n" );
document.write( "84 = 4b<BR>\n" );
document.write( "b = 84/4<BR>\n" );
document.write( "b = 21 hrs for B to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If they work together, how long will it take for them to do the job?\"<BR>\n" );
document.write( "let t = time required when working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F14 ALIGN=MIDDLE  ALT=\"t%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F21 ALIGN=MIDDLE  ALT=\"t%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply both sides by 42, cancel the denominators and you we have<BR>\n" );
document.write( "3t + 2t = 42<BR>\n" );
document.write( "5t = 42<BR>\n" );
document.write( "t = 42/5<BR>\n" );
document.write( " t = 8.4 hrs working together \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );