document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145847>Question 145847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having difficulty putting this problem into an equation even though I know the answer.<BR>\n" );
document.write( "Workman A and B complete a certain job if they work together for 6 days or if A alone works for 3 days and B alone works for 10 days. How long does it take each man to complete the job alone?\r<BR>\n" );
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document.write( "The answer is A - 10 1/2 days and B - 14 days\r<BR>\n" );
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document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106440 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=106440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Workman A and B complete a certain job if they work together for 6 days or if A alone works for 3 days and B alone works for 10 days. How long does it take each man to complete the job alone? <BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
document.write( "Let A = time required for A to complete it alone<BR>\n" );
document.write( "Let B = time required for B to do it.<BR>\n" );
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document.write( "Working 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" );
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document.write( "Each doing part of the job alone equation:<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=10%2FB ALIGN=MIDDLE  ALT=\"10%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Use elimination here:<BR>\n" );
document.write( "Multiply the above equation by 2 and subtract the 1st equation from it:<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=20%2FB ALIGN=MIDDLE  ALT=\"20%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( "----------------------------subtracting eliminates A<BR>\n" );
document.write( "0 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2FB ALIGN=MIDDLE  ALT=\"14%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "B = 14 days working alone<BR>\n" );
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document.write( "Find A using the working together equation, substitute 14 for B<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%2F14 ALIGN=MIDDLE  ALT=\"6%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 14A to get rid of the denominators<BR>\n" );
document.write( "6(14) + 6A = 14A<BR>\n" );
document.write( "84 = 14A - 6A<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F8 ALIGN=MIDDLE  ALT=\"84%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 10.5 days working alone<BR>\n" );
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document.write( "Check solution using the 2nd equation (with a calc):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F10.5 ALIGN=MIDDLE  ALT=\"3%2F10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 1<BR>\n" );
document.write( ".2857 + .7143 = 1<BR>\n" );
document.write( " </SPAN>\n" );
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