document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4327>Question 4327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if Jane takes 5 hours to paint a house and John takes 6 hours to paint a house. How long will it take them working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1963 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=1963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Jane can paint a house in 5 hours, then in 1 hour she can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of it.  <BR>\n" );
document.write( "If John can paint the house in 6 hours, then in 1 hour he can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job.  <BR>\n" );
document.write( "Let x = the time it would take them to paint the house together.  <BR>\n" );
document.write( "Then in 1 hour, together they could paint 1/x of the house.\r<BR>\n" );
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document.write( "So, the equation is then:  What Jane can paint in 1 hour, plus what John can paint in 1 hour, equals what they can paint together in 1 hour, or as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5+%2B+1%2F6+=+1%2Fx ALIGN=MIDDLE  ALT=\"1%2F5+%2B+1%2F6+=+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This equation can be solved in two ways.  For those who do NOT like fractions, you can multiply both sides of the equation by the Least Common Denominator (LCD), which in the case is 30x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+%2A+%281%2F5%29+%2B+30x+%2A+%281%2F6%29+=+30x+%2A+%281%2Fx%29 ALIGN=MIDDLE  ALT=\"30x+%2A+%281%2F5%29+%2B+30x+%2A+%281%2F6%29+=+30x+%2A+%281%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce all the fractions, which eliminates all the denominators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2B+5x+=+30 ALIGN=MIDDLE  ALT=\"6x+%2B+5x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x+=+30 ALIGN=MIDDLE  ALT=\"11x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30%2F11+ ALIGN=MIDDLE  ALT=\"x+=+30%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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