document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268391>Question 268391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .A and B can do a piece of work in 12 days,B and C can do it in 15 days and C and A can do <BR>\n" );
document.write( "  the same work in 20 days. How long would each take to complete 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 #196783 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=196783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the piece of work = 1<BR>\n" );
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document.write( "Write a shared work equation for each phrase:<BR>\n" );
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document.write( "A and B can do a piece of work in 12 days,<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=12%2FB ALIGN=MIDDLE  ALT=\"12%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "B and C can do it in 15 days and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2FB ALIGN=MIDDLE  ALT=\"15%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2FC ALIGN=MIDDLE  ALT=\"15%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ";<BR>\n" );
document.write( " C and A can do the same work in 20 days.<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=20%2FC ALIGN=MIDDLE  ALT=\"20%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Use elimination; Mult the 1st eq by 5, mult the 3nd eq by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FA ALIGN=MIDDLE  ALT=\"60%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FB ALIGN=MIDDLE  ALT=\"60%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FA ALIGN=MIDDLE  ALT=\"60%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FC ALIGN=MIDDLE  ALT=\"60%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "------------------------------Subtraction eliminates A, leaving us with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FB ALIGN=MIDDLE  ALT=\"60%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FC ALIGN=MIDDLE  ALT=\"60%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
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document.write( "Multiply the 2nd equation by 4, add to the above equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FB ALIGN=MIDDLE  ALT=\"60%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FC ALIGN=MIDDLE  ALT=\"60%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FB ALIGN=MIDDLE  ALT=\"60%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2FC ALIGN=MIDDLE  ALT=\"60%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "-------------------------------addition eliminates C, find B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2FB ALIGN=MIDDLE  ALT=\"120%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
document.write( "120 = 6B<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F6 ALIGN=MIDDLE  ALT=\"120%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 20 hrs working alone<BR>\n" );
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document.write( "Use the 2nd equation to find C, substitute 20 for B, find C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F20 ALIGN=MIDDLE  ALT=\"15%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2FC ALIGN=MIDDLE  ALT=\"15%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 20C, results:<BR>\n" );
document.write( "15C + 20(15) = 20C<BR>\n" );
document.write( "15C + 300 = 20C<BR>\n" );
document.write( "300 = 20C - 15C<BR>\n" );
document.write( "5C = 300<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F5 ALIGN=MIDDLE  ALT=\"300%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 60 hrs working alone<BR>\n" );
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document.write( "Use the 3rd equation to find A<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=20%2F60 ALIGN=MIDDLE  ALT=\"20%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 60A<BR>\n" );
document.write( "60(20) + 20A = 60A<BR>\n" );
document.write( "1200 = 60A - 20A<BR>\n" );
document.write( "40A = 1200<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F40 ALIGN=MIDDLE  ALT=\"1200%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 30 hrs working alone<BR>\n" );
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document.write( "Summarize: A=30; B=20; C=60<BR>\n" );
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document.write( "Check it in the 1st equation<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=12%2FB ALIGN=MIDDLE  ALT=\"12%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=12%2F30 ALIGN=MIDDLE  ALT=\"12%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F20 ALIGN=MIDDLE  ALT=\"12%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "YOu can confirm it in the other two equations. </SPAN>\n" );
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