document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22995>Question 22995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? <BR>\n" );
document.write( "I did not get the answer to this problem, so if you could please give me some solutions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11381 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint the house in 4 hours, then in 1 hour she can paint 1/4 of the house.\r<BR>\n" );
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document.write( "If John can paint the house in 6 hours, then in 1 hour he can paint 1/6 of the house.\r<BR>\n" );
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document.write( "Let x = number of hours it would take them together to paint the house, then working together, in 1 hour they can paint 1/x of the house. \r<BR>\n" );
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document.write( "The equation is this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+%2B+1%2F6+=+1%2Fx ALIGN=MIDDLE  ALT=\"1%2F4+%2B+1%2F6+=+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by the LCD which is 12x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%29%2A+%281%2F4%29+%2B+%2812x%29%2A%281%2F6%29+=+%2812x%29%2A%281%2Fx%29+ ALIGN=MIDDLE  ALT=\"%2812x%29%2A+%281%2F4%29+%2B+%2812x%29%2A%281%2F6%29+=+%2812x%29%2A%281%2Fx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+2x+=+12 ALIGN=MIDDLE  ALT=\"3x+%2B+2x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=+12 ALIGN=MIDDLE  ALT=\"5x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12%2F5 ALIGN=MIDDLE  ALT=\"x+=+12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.4 hours\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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