document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445162>Question 445162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Painter Painter has three employees: Huey, Dewey, and Louie. Working together they can paint a large room in 4 hours. Huey and Louie can paint the same size room in 6 hours. Dewey and Louie can paint the same size room in 7 hours. How long would it take each of them to paint the room alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306731 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let h,d, and l be the number of hours it takes for each to separately paint a room.\r<BR>\n" );
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document.write( "So here's the trick: the efficiency of each is (1 room) / (number of hours it takes). In essence, it's the fraction of the room painted in 1 hour.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fh%29+%2B+%281%2Fd%29+%2B+%281%2Fl%29+=+1%2F4 ALIGN=MIDDLE  ALT=\"%281%2Fh%29+%2B+%281%2Fd%29+%2B+%281%2Fl%29+=+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=%281%2Fh%29+%2B+%281%2Fl%29+=+1%2F6 ALIGN=MIDDLE  ALT=\"%281%2Fh%29+%2B+%281%2Fl%29+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fd%29+%2B+%281%2Fl%29+=+1%2F7 ALIGN=MIDDLE  ALT=\"%281%2Fd%29+%2B+%281%2Fl%29+=+1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add the bottom two equations to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fh%29+%2B+%282%2Fl%29+%2B+%281%2Fd%29+=+%2813%2F42%29 ALIGN=MIDDLE  ALT=\"%281%2Fh%29+%2B+%282%2Fl%29+%2B+%281%2Fd%29+=+%2813%2F42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fh%29+%2B+%281%2Fl%29+%2B+%281%2Fd%29+=+%2813%2F42%29+-+%281%2Fl%29 ALIGN=MIDDLE  ALT=\"%281%2Fh%29+%2B+%281%2Fl%29+%2B+%281%2Fd%29+=+%2813%2F42%29+-+%281%2Fl%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Recall the first equation and make a substitution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29+=+%2813%2F42%29+-+%281%2Fl%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29+=+%2813%2F42%29+-+%281%2Fl%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2F42%29-%281%2F4%29+=+%281%2Fl%29 ALIGN=MIDDLE  ALT=\"%2813%2F42%29-%281%2F4%29+=+%281%2Fl%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826%2F84%29-%2821%2F84%29+=+%285%2F84%29+=+%281%2Fl%29 ALIGN=MIDDLE  ALT=\"%2826%2F84%29-%2821%2F84%29+=+%285%2F84%29+=+%281%2Fl%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5l+=+84 ALIGN=MIDDLE  ALT=\"5l+=+84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+84%2F5 ALIGN=MIDDLE  ALT=\"l+=+84%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >} or 16.8 hours or 16 4/5 hours<BR>\n" );
document.write( "Plug l = 84/5 into the 2nd equation to get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fh+%2B+5%2F84+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fh+%2B+5%2F84+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fh+=+5%2F84+=+14%2F84 ALIGN=MIDDLE  ALT=\"1%2Fh+=+5%2F84+=+14%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fh+=+9%2F84 ALIGN=MIDDLE  ALT=\"1%2Fh+=+9%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+84%2F9 ALIGN=MIDDLE  ALT=\"h+=+84%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 9.33333 hours or 9 1/3 hours<BR>\n" );
document.write( "Plug l = 84/5 into the 3rd equation to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fd+%2B+5%2F84+=+1%2F7 ALIGN=MIDDLE  ALT=\"1%2Fd+%2B+5%2F84+=+1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fd+=+7%2F84 ALIGN=MIDDLE  ALT=\"1%2Fd+=+7%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+84%2F7 ALIGN=MIDDLE  ALT=\"d+=+84%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 12 hours.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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