document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33431>Question 33431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a word problem - the problem is - if Janice can paint a room in 10 hours and Jim can paint the same room in 8 hours - how long will it take to paint the room if they both work together?\r<BR>\n" );
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document.write( "I think the ans should be 4.5 hours but I am not sure how to set up the equation\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19786 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=19786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t hours be the time to finish the job together.<BR>\n" );
document.write( "Janice can finish the job in 10 hours<BR>\n" );
document.write( "=> Janice can do t/10 portion of the job in t hours;<BR>\n" );
document.write( "Jim can finish the same job in 8 hours <BR>\n" );
document.write( "=> Jim can do t/8 portion of the job in t hours.<BR>\n" );
document.write( "Total portion of the job done by both Jim and Janice is t hours = 1<BR>\n" );
document.write( "=> t/10 + t/8 = 1<BR>\n" );
document.write( "=> 4t+5t = 40<BR>\n" );
document.write( "=> t = 40/9 = 4 and 4/9 hours<BR>\n" );
document.write( "Answer: It will take 4 and 4/9 hours for them to paint the same room together. </SPAN>\n" );
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