document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140083>Question 140083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need your help in solving this problem. I find it hard and I can't come up with a better solution. Thank you.\r<BR>\n" );
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document.write( "It takes John 5 hours to paint a house. It takes Bob 3 hours to paint the same house. How long will it take to paint the house if both of them work together?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102089 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when people work together to complete a task,<BR>\n" );
document.write( "__ each person completes some fraction of the task based on their individual rate\r<BR>\n" );
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document.write( "for example __ if Mike can build a shed in 10 hours,<BR>\n" );
document.write( "__ when he works with a group that can build it in 3 hrs; Mike does 3/10 or 30% of the job\r<BR>\n" );
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document.write( "the individual fractions sum to 1, the whole task\r<BR>\n" );
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document.write( "let x=time together __ x/5+x/3=1 __ multiplying by 15 __ 3x+5x=15 __ 8x=15\r<BR>\n" );
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document.write( "dividing by 8 __ x=15/8 __ x=1.875 </SPAN>\n" );
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