document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198387>Question 198387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If John can paint a house in 6 hours.  Mary can paint one in 4 hours and Sue can paint one in 2 hours, how long would it take them to paint a house if they worked together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148906 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=148906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If John can paint a house in 6 hours. Mary can paint one in 4 hours<BR>\n" );
document.write( " and Sue can paint one in 2 hours, how long would it take them to paint<BR>\n" );
document.write( " a house if they worked together?<BR>\n" );
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document.write( "Let t = time required if they all work together<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Each will paint a fraction of the house. All three fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F2 ALIGN=MIDDLE  ALT=\"t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 12:<BR>\n" );
document.write( "12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F2 ALIGN=MIDDLE  ALT=\"t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12(1)<BR>\n" );
document.write( "Cancel out the denominators; results:<BR>\n" );
document.write( "2t + 3t + 6t = 12<BR>\n" );
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document.write( "11t = 12<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F11 ALIGN=MIDDLE  ALT=\"12%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1.09 hrs or 1 hr + .09(60) = 5.45 min<BR>\n" );
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