document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224473>Question 224473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three skilled laborers a,b,c together can do construction job in 20 days a & b could do the job in 30 days b & c could do the job in 40 dyas. how long would it take each to do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167744 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=167744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> three skilled laborers a,b,c together can do construction job in 20 days a & b<BR>\n" );
document.write( " could do the job in 30 days b & c could do the job in 40 days.<BR>\n" );
document.write( " how long would it take each to do the job alone?<BR>\n" );
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document.write( "Write a \"shared work\" equation for each statement<BR>\n" );
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document.write( "\"three skilled laborers a,b,c together can do construction job in 20 days\"<BR>\n" );
document.write( "Let the completed job = 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fa+%2B+20%2Fb+%2B+20%2Fc ALIGN=MIDDLE  ALT=\"20%2Fa+%2B+20%2Fb+%2B+20%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "\" a & b could do the job in 30 days\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fa+%2B+30%2Fb ALIGN=MIDDLE  ALT=\"30%2Fa+%2B+30%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "\" b & c could do the job in 40 days\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fb+%2B+40%2Fc ALIGN=MIDDLE  ALT=\"40%2Fb+%2B+40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( " how long would it take each to do the job alone?<BR>\n" );
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document.write( "We can use elimination here:<BR>\n" );
document.write( "Multiply the 1st equation by 2, subtract the 3rd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fa+%2B+40%2Fb+%2B+40%2Fc ALIGN=MIDDLE  ALT=\"40%2Fa+%2B+40%2Fb+%2B+40%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=40%2Fb+%2B+40%2Fc ALIGN=MIDDLE  ALT=\"40%2Fb+%2B+40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fa ALIGN=MIDDLE  ALT=\"40%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "a = 40 days alone<BR>\n" );
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document.write( "Replace a with 40 in the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F40+%2B+30%2Fb ALIGN=MIDDLE  ALT=\"30%2F40+%2B+30%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=3%2F4+%2B+30%2Fb ALIGN=MIDDLE  ALT=\"3%2F4+%2B+30%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=30%2Fb ALIGN=MIDDLE  ALT=\"30%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fb ALIGN=MIDDLE  ALT=\"30%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 4b<BR>\n" );
document.write( "4(30) = b<BR>\n" );
document.write( "b = 120 days alone<BR>\n" );
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document.write( "Find c using the 3nd equation, replace b with 120<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F120+%2B+40%2Fc ALIGN=MIDDLE  ALT=\"40%2F120+%2B+40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2B+40%2Fc ALIGN=MIDDLE  ALT=\"1%2F3+%2B+40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fc ALIGN=MIDDLE  ALT=\"40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+1%2F3 ALIGN=MIDDLE  ALT=\"1+-+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fc ALIGN=MIDDLE  ALT=\"40%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 3c<BR>\n" );
document.write( "3(40) = 2c<BR>\n" );
document.write( "120 = 2c<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F2 ALIGN=MIDDLE  ALT=\"120%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 60 days alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Solutions: a = 40 days, b = 120 days, c = 60 days<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this using the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F40+%2B+20%2F120+%2B+20%2F60 ALIGN=MIDDLE  ALT=\"20%2F40+%2B+20%2F120+%2B+20%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );