document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208065>Question 208065</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh>modern college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If A,B and C work together on a job, it will take 1 and 1/3 hours. If only A and B work, it would take 1 and 5/7 hours, but if B and C work, it would take 2 and 2/5 hours. How long it would take each man, working alone to complete the job? \r<BR>\n" );
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document.write( "A and B working together can do a job in 6 hours. A become ill after 3 hours of working with B, and B finished the job, continuing to work alone in 8 hours. How long would it take each working alone 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 #157394 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=157394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If A,B and C work together on a job, it will take 1 and 1/3 hours. If only A and B work, it would take 1 and 5/7 hours, but if B and C work, it would take 2 and 2/5 hours. How long it would take each man, working alone to complete the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 1 & 1/3 hrs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Simplify the shared work equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2FA ALIGN=MIDDLE  ALT=\"%284%2F3%29%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2FB ALIGN=MIDDLE  ALT=\"%284%2F3%29%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2FC ALIGN=MIDDLE  ALT=\"%284%2F3%29%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 >> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%283A%29 ALIGN=MIDDLE  ALT=\"4%2F%283A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%283B%29 ALIGN=MIDDLE  ALT=\"4%2F%283B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%283C%29 ALIGN=MIDDLE  ALT=\"4%2F%283C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 >> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2FA ALIGN=MIDDLE  ALT=\"4%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2FB ALIGN=MIDDLE  ALT=\"4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2FC ALIGN=MIDDLE  ALT=\"4%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "convert 1 & 5/7 hrs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F7 ALIGN=MIDDLE  ALT=\"12%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F7%29%2FA ALIGN=MIDDLE  ALT=\"%2812%2F7%29%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F7%29%2FB ALIGN=MIDDLE  ALT=\"%2812%2F7%29%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 >>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%287A%29 ALIGN=MIDDLE  ALT=\"12%2F%287A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%287B%29 ALIGN=MIDDLE  ALT=\"12%2F%287B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 >> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28A%29 ALIGN=MIDDLE  ALT=\"12%2F%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28B%29 ALIGN=MIDDLE  ALT=\"12%2F%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply 1st equation by 3 and subtract the 2nd 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;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FC ALIGN=MIDDLE  ALT=\"12%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<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;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2FC ALIGN=MIDDLE  ALT=\"0%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  7<BR>\n" );
document.write( "---------------------eliminates A & B, find C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FC ALIGN=MIDDLE  ALT=\"12%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "12 = 2C<BR>\n" );
document.write( "C = 6 hrs alone <BR>\n" );
document.write( ":<BR>\n" );
document.write( "The 3rd equation we can use decimal: 2 & 2/5 hrs = 2.4 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FB ALIGN=MIDDLE  ALT=\"2.4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FC ALIGN=MIDDLE  ALT=\"2.4%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Replace C with 6, find B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FB ALIGN=MIDDLE  ALT=\"2.4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2F6 ALIGN=MIDDLE  ALT=\"2.4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FB ALIGN=MIDDLE  ALT=\"2.4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + .4 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FB ALIGN=MIDDLE  ALT=\"2.4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 -.4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2FB ALIGN=MIDDLE  ALT=\"2.4%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .6<BR>\n" );
document.write( ".6B = 2.4<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2F.6 ALIGN=MIDDLE  ALT=\"2.4%2F.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 4 hrs alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find A, using the 2nd 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%2F4 ALIGN=MIDDLE  ALT=\"12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7<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;\" > + 3 = 7<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;\" > = 7 - 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;\" > = 4 <BR>\n" );
document.write( "4A = 12<BR>\n" );
document.write( "A = 3 hrs alone <BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the 1st equation using a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2F3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2F4 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2F6 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":  <BR>\n" );
document.write( "A and B working together can do a job in 6 hours. A become ill after 3 hours of working with B, and B finished the job, continuing to work alone in 8 hours. How long would it take each working alone to do the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Working the same together equation:<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=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Working when one gets sick equation: (B works a total of 11 hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2FA ALIGN=MIDDLE  ALT=\"3%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2FB ALIGN=MIDDLE  ALT=\"11%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the above equation by 3 and subtract the 1st equation<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=22%2FB ALIGN=MIDDLE  ALT=\"22%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=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "-----------------------------eliminates A<BR>\n" );
document.write( "16B = 1<BR>\n" );
document.write( "B = 16 hrs alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find A using the 1st equation<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=6%2F16 ALIGN=MIDDLE  ALT=\"6%2F16\"   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=16%2F16 ALIGN=MIDDLE  ALT=\"16%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F16 ALIGN=MIDDLE  ALT=\"6%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=10%2F16 ALIGN=MIDDLE  ALT=\"10%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "10A = 6 * 16<BR>\n" );
document.write( "10A = 96<BR>\n" );
document.write( "A = 9.6 hrs alone<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution on a calc using the \"sick equation\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F9.6 ALIGN=MIDDLE  ALT=\"3%2F9.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F16 ALIGN=MIDDLE  ALT=\"11%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );