document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309458>Question 309458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a,b, andc can finish a job in 6 days. if b and c work together, the job will take 9 days;if a and c work together, the job  will be done in 8 days. in how many days can each man working alone 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 #221332 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=221332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, b, and c can finish a job in 6 days.<BR>\n" );
document.write( " if b and c work together, the job will take 9 days;<BR>\n" );
document.write( "if a and c work together, the job will be done in 8 days. <BR>\n" );
document.write( "in how many days can each man working alone do the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"a, b, and c can finish a job in 6 days.\"<BR>\n" );
document.write( "1.<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=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"if b and c work together, the job will take 9 days;\"<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fb ALIGN=MIDDLE  ALT=\"9%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fc ALIGN=MIDDLE  ALT=\"9%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"if a and c work together, the job will be done in 8 days.\"<BR>\n" );
document.write( "3.<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%2Fc ALIGN=MIDDLE  ALT=\"8%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply eq1 by 3, and eq2 by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fa ALIGN=MIDDLE  ALT=\"18%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fb ALIGN=MIDDLE  ALT=\"18%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fc ALIGN=MIDDLE  ALT=\"18%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Fa ALIGN=MIDDLE  ALT=\"0%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fb ALIGN=MIDDLE  ALT=\"18%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fc ALIGN=MIDDLE  ALT=\"18%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "--------------------------subtraction eliminates a & b, find c<BR>\n" );
document.write( "18/a = 1<BR>\n" );
document.write( "Mult both sides by a<BR>\n" );
document.write( "a = 18 hrs alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace a with 18 in eq3, find c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F18 ALIGN=MIDDLE  ALT=\"8%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fc ALIGN=MIDDLE  ALT=\"8%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 18c<BR>\n" );
document.write( "8c + 18(8) = 18c<BR>\n" );
document.write( "8c + 144 = 18c<BR>\n" );
document.write( "144 = 18c - 8c<BR>\n" );
document.write( "144 = 10c<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F10 ALIGN=MIDDLE  ALT=\"144%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 14.4 hrs alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace c with 14.4 in eq2, find b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fb ALIGN=MIDDLE  ALT=\"9%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F14.4 ALIGN=MIDDLE  ALT=\"9%2F14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 14.4b<BR>\n" );
document.write( "14.4(9) + 9b = 14.4b<BR>\n" );
document.write( "129.6 = 14.4b - 9b<BR>\n" );
document.write( "129.6 = 5.4b<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=129.6%2F5.4 ALIGN=MIDDLE  ALT=\"129.6%2F5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 24 hrs alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solution: a=18 hrs, b=24 hrs, c= 14.4 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that flies in the eq1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F18 ALIGN=MIDDLE  ALT=\"6%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24 ALIGN=MIDDLE  ALT=\"6%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F14.4 ALIGN=MIDDLE  ALT=\"6%2F14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".333 + .25 + .417 = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );