document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=301609>Question 301609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Barney can build a barn in 15 hours. david can build a barn in 10 hours. How long will it take for the barn to be built if they 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 #216253 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Barney can build a barn in 15 hours. david can build a barn in 10 hours. How long will it take for the barn to be built if they work together?<BR>\n" );
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document.write( "Barney's rate: 1/15<BR>\n" );
document.write( "David's rate: 1/10<BR>\n" );
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document.write( "Let t = time it takes for both<BR>\n" );
document.write( "then<BR>\n" );
document.write( "t(1/15 + 1/10) = 1<BR>\n" );
document.write( "Multiply both sides by 150:<BR>\n" );
document.write( "t(10 + 15) = 150<BR>\n" );
document.write( "25t = 150<BR>\n" );
document.write( "t = 6 hours<BR>\n" );
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