document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805262>Question 805262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Person A can paint the neighbors house 2 times as fast as person B. The year A and B worked together, it took them 6 days. how long would it take each 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 #485147 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=485147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at rates according to jobs per time.  \"Paint the house\" is the one job and time is in number of days.\r<BR>\n" );
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document.write( "Given an amount of days, d, agent A works at the rate of 1/d jobs per day and agent B works at the slower rate of 1/(2d) jobs per day.\r<BR>\n" );
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document.write( "When agents A and B work at the same time, the needed time for 1 job is 6 days.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r%2At=j%29 ALIGN=MIDDLE  ALT=\"highlight%28r%2At=j%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = rate<BR>\n" );
document.write( "t = time in days<BR>\n" );
document.write( "j = how many jobs.\r<BR>\n" );
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document.write( "This rate for A and B together is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282d%29%2B1%2Fd ALIGN=MIDDLE  ALT=\"1%2F%282d%29%2B1%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We are given the time for their one job, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6 ALIGN=MIDDLE  ALT=\"t=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We understand that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=1 ALIGN=MIDDLE  ALT=\"j=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > for 1 job.\r<BR>\n" );
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document.write( "The rate is what is unknown because the rate contains variable d, which is what we must solve for.<BR>\n" );
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document.write( "Solving for d should be uncomplicated.  The rate for each of A and B can be computed using d. </SPAN>\n" );
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