document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368342>Question 368342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working alone, Ryan can dig a 10 ft by 10 ft<BR>\n" );
document.write( "hole in five hours. Castel can dig the same<BR>\n" );
document.write( "hole in six hours. How long would it take<BR>\n" );
document.write( "them if they worked together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262492 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=262492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working alone, Ryan can dig a 10 ft by 10 ft<BR>\n" );
document.write( "hole in five hours. Castel can dig the same<BR>\n" );
document.write( "hole in six hours. How long would it take<BR>\n" );
document.write( "them if they worked together?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time (hours) it takes for them to dig together<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x(1/5 + 1/6) = 1<BR>\n" );
document.write( "Multiplying both sides by 30:<BR>\n" );
document.write( "x(6 + 5) = 30<BR>\n" );
document.write( "11x = 30<BR>\n" );
document.write( "x = 30/11<BR>\n" );
document.write( "x = 2.73 hours<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = 2 hours and 44 minutes<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );