document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152129>Question 152129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours and John can pain the same house in 6 hour, how long will it take for both of them to paint the house together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111827 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=111827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours and John can pain the same house in 6 hour, how long will it take for both of them to paint the house together?<BR>\n" );
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document.write( "Let t = time required when they work together<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "We want to find out what fraction of the job each will do, has to add up to 1<BR>\n" );
document.write( "<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%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 12 to get rid of the denominators<BR>\n" );
document.write( "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%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12(1)<BR>\n" );
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document.write( "Cancel the denominators and you have;<BR>\n" );
document.write( "3t + 2t = 12<BR>\n" );
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document.write( "5t = 12<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F5 ALIGN=MIDDLE  ALT=\"12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.4 hrs working together<BR>\n" );
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document.write( "Check solution on a calc: enter (2.4/4) + (2.4/6) = 1 </SPAN>\n" );
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