document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775419>Question 775419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter can paint a kitchen in 15 hours. An apprentice can paint the same kitchen in 30 hours. If they worked together, how long would it take them to paint the kitchen? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472877 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Painter can paint a kitchen in 15 hours<BR>\n" );
document.write( "His apprentice can paint the same kitchen in 30 hours.<BR>\n" );
document.write( "Painter's rate = 1/15 job/hr<BR>\n" );
document.write( "Apprentice's rate = 1/30 job/hr<BR>\n" );
document.write( "Together rate 1/x job/hr<BR>\n" );
document.write( "1/15 + 1/30 = 1/x<BR>\n" );
document.write( "Common Denominator = 30x<BR>\n" );
document.write( "2x + x = 30<BR>\n" );
document.write( "3x = 30<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "They could paint the kitchen in 10 hrs together.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ";-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );