document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994052>Question 994052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two painters, working together, can paint a house in 3 days.<BR>\n" );
document.write( "One painter working alone can paint the house in 4 days.<BR>\n" );
document.write( "How many days would it take the second painter, working alone,to paint the house. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613257 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Two painters, working together, can paint a house in 3 days.<BR>\n" );
document.write( "One painter working alone can paint the house in 4 days.<BR>\n" );
document.write( "How many days would it take the second painter, working alone,to paint the house.<BR>\n" );
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document.write( "Let &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; be the number of days for the second painter to paint the house, &nbsp;working alone.\r<BR>\n" );
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document.write( "Then the second painter paints &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;of the house per day. &nbsp;It is his rate of work.\r<BR>\n" );
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document.write( "The first  painter can paint &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of the house per day. &nbsp;It is his rate of work.\r<BR>\n" );
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document.write( "Working together, they paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house per day.\r<BR>\n" );
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document.write( "It gives an equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Simplify and solve it. &nbsp;Multiply both sides by &nbsp;12x &nbsp;(it is the common denominator). &nbsp;You will get\r<BR>\n" );
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document.write( "3x + 12 = 4x.\r<BR>\n" );
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document.write( "Hence, x = 12.\r<BR>\n" );
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document.write( "<U>Answer</U>. &nbsp;The second painter can paint the house in &nbsp;15&nbsp; days.\r<BR>\n" );
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document.write( "For more problems on joint work see the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using fractions to solve word problems on joint work</A>&nbsp; in this site.\r<BR>\n" );
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