document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994811>Question 994811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2 days or if they both work for 2 2/5 days. How long will 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 #613857 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=613857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2 days or if they both work for 2 2/5 days.<BR>\n" );
document.write( " How long will it take each to do the job alone?<BR>\n" );
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document.write( "let p = time required if Paul works alone<BR>\n" );
document.write( "let d = time required if Derick works alone<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
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document.write( "Write an equation for each scenario<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fp ALIGN=MIDDLE  ALT=\"3%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fd ALIGN=MIDDLE  ALT=\"2%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "and change 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > days to 2.4 days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2Fp ALIGN=MIDDLE  ALT=\"2.4%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2Fd ALIGN=MIDDLE  ALT=\"2.4%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "we can use elimination here, multiply the 1st equation by 8, the 2nd equation by 10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fp ALIGN=MIDDLE  ALT=\"24%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fd ALIGN=MIDDLE  ALT=\"16%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fp ALIGN=MIDDLE  ALT=\"24%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fd ALIGN=MIDDLE  ALT=\"24%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( "-----------------------------Subtract the 1st eq from the 2nd and you have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fd ALIGN=MIDDLE  ALT=\"8%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "8 = 2d<BR>\n" );
document.write( "d = 4 days for Derick working alone<BR>\n" );
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document.write( "Use the first equation to find p<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fp ALIGN=MIDDLE  ALT=\"3%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F4 ALIGN=MIDDLE  ALT=\"2%2F4\"   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%2Fp ALIGN=MIDDLE  ALT=\"3%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - <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;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fp ALIGN=MIDDLE  ALT=\"3%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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;\" > <BR>\n" );
document.write( "p = 3*2<BR>\n" );
document.write( "p = 6 days for Paul alone<BR>\n" );
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document.write( "Confirm this in the 2nd equation<BR>\n" );
document.write( "<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;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2F4 ALIGN=MIDDLE  ALT=\"2.4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( ".4 + .6  = 1 </SPAN>\n" );
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