document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976086>Question 976086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know there is alot of similar questions, but I couldn't find the answer to this challenge offered by my teacher..\r<BR>\n" );
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document.write( "Nick can paint a fence by himself in 6 hours. When he works with his brother James they can paint a fence in 4 hours. How long would it take James to paint a fence by himself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597745 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nick can paint a fence by himself in 6 hours. When he works with his brother James they can paint a fence in 4 hours. How long would it take James to paint a fence by himself?<BR>\n" );
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document.write( "Nick paints 1/6 of a fence per hour.<BR>\n" );
document.write( "James takes J hours --> he paints 1/J of a fence per hour.<BR>\n" );
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document.write( "Together, they paint 1/6 + 1/J per hour = 1/4 per hour<BR>\n" );
document.write( "1/6 + 1/J = 1/4<BR>\n" );
document.write( "(J + 6)/6J = 1/4<BR>\n" );
document.write( "J + 6 = 6J/4<BR>\n" );
document.write( "6J = 4J + 24<BR>\n" );
document.write( "2J = 24<BR>\n" );
document.write( "J = 12 hours<BR>\n" );
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