document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=297556>Question 297556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juan can paint the neighbor's house four times as fast as Ariel.  The year they worked together it took them 8 days.  How long would it take each to paint the house alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214266 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10559)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Juan can paint the neighbor's house four times as fast as Ariel.  The year they worked together it took them 8 days.  How long would it take each to paint the house alone?\r<BR>\n" );
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document.write( "Let the amount of days Juan takes to do the job be J\r<BR>\n" );
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document.write( "Since Juan works 4 times faster than Ariel, then Ariel's time to do the entire job is 4J\r<BR>\n" );
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document.write( "This means that Juan can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FJ ALIGN=MIDDLE  ALT=\"1%2FJ\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job in 1 day, and\r<BR>\n" );
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document.write( "Ariel can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4J ALIGN=MIDDLE  ALT=\"1%2F4J\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job in 1 day\r<BR>\n" );
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document.write( "Now we get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28J%29+%2B+8%2F%284J%29+=+1 ALIGN=MIDDLE  ALT=\"8%2F%28J%29+%2B+8%2F%284J%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > since it takes both men 8 days to do the entire job\r<BR>\n" );
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document.write( "This gives us: 32 + 8 = 4J --------- Mutiplying by LCD, 4J\r<BR>\n" );
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document.write( "40 = 4J\r<BR>\n" );
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document.write( "Therefore, J, or Juan's time to do the job is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F4 ALIGN=MIDDLE  ALT=\"40%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > days, which means that Ariel can do the same job in 10*4 days, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2840%29 ALIGN=MIDDLE  ALT=\"highlight_green%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > days. </SPAN>\n" );
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