document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955974>Question 955974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 7 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 #854595 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53889)</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=854595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Person A can paint the neighbor's house 5 times as fast as Person B. <BR>\n" );
document.write( "The year A and B worked together, it took them 7 days. How long would it take each to paint the house?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In his post, @lwsshar3 solved the problem, using equations.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Actually, this problem is very simple and is arithmetical in its nature.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In other words, it can be solved MENTALLY, using arithmetic and common sense only, without involving equations.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Such mental solutions develop the childs' minds very much, making them more flexible and stronger.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is why I can not resist to provide this mental solution here.\r<BR>\n" );
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document.write( "Person A works as 5 copies of person B.\r<BR>\n" );
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document.write( "So, the team \"A+B' works as productive as 6 copies of B.\r<BR>\n" );
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document.write( "So, from the problem, 6 copies of B can make the job in 7 days.\r<BR>\n" );
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document.write( "Hence, one single B will complete the whole job in 6*7 = 42 days.\r<BR>\n" );
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document.write( "From it, one single A will complete the job 5 time faster, in 42/5 = 8 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8.4 days.<BR>\n" );
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document.write( "At this point, the problem is solved completely: mentally and without using equations.\r<BR>\n" );
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