document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927618>Question 927618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One woman and one man can build a wall together in two hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them four hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563113 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of working for a woman in jobs / hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of working for a man in jobs / hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of working for a girl in jobs / hr<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Add rates of working to get rate working together ( generally )<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+%2B+2R%5Bg%5D+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+%2B+2R%5Bg%5D+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+%2B+R%5Bg%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+%2B+R%5Bg%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "This is 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+-+R%5Bg%5D+%2B+R%5Bw%5D+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F4+-+R%5Bg%5D+%2B+R%5Bw%5D+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+-+R%5Bg%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+-+R%5Bg%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R%5Bw%5D+%2B+R%5Bg%5D+=+-1%2F4+ ALIGN=MIDDLE  ALT=\"+-R%5Bw%5D+%2B+R%5Bg%5D+=+-1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3R%5Bg%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+3R%5Bg%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bg%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Bg%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "and, since:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+3%2F12+-+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+3%2F12+-+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+-+R%5Bg%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+-+R%5Bg%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+-+1%2F12+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+-+1%2F12+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+=+3%2F12+%2B+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+=+3%2F12+%2B+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "1 woman takes 3 hrs<BR>\n" );
document.write( "1 man takes 6 hrs<BR>\n" );
document.write( "1 girl takes 12 hrs<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bm%5D+=+1%2F4+-+R%5Bg%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+=+1%2F4+-+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F6+=+1%2F4+-+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F12+=+3%2F12+-+1%2F12+ ALIGN=MIDDLE  ALT=\"+2%2F12+=+3%2F12+-+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F12+=+2%2F12+ ALIGN=MIDDLE  ALT=\"+2%2F12+=+2%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bw%5D+%2B+2R%5Bg%5D+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+R%5Bw%5D+%2B+2R%5Bg%5D+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+2%2A%281%2F12%29+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+2%2A%281%2F12%29+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F12+%2B+2%2F12+=+6%2F12+ ALIGN=MIDDLE  ALT=\"+4%2F12+%2B+2%2F12+=+6%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F12+=+6%2F12+ ALIGN=MIDDLE  ALT=\"+6%2F12+=+6%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "You can check the other one<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );