document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264353>Question 264353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter can finish painting a house in 4 hours. Her assistant takes 6 hours to finish the same job. How long would it take for them to complete the job if they were working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194635 by </B><A HREF=/tutors/aboutme.mpl?userid=Ruli><B>Ruli(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Ruli><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=194635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The painter = 1/4x<BR>\n" );
document.write( "Her assistant = 1/6x<BR>\n" );
document.write( "1/4x + 1/6x = 1<BR>\n" );
document.write( "Multiply each side by the LCD, 12<BR>\n" );
document.write( "12(1/4x) + 12(1/6x) = 12(1)<BR>\n" );
document.write( "3x + 2x = 12<BR>\n" );
document.write( "5x = 12<BR>\n" );
document.write( "Divide each side by 5<BR>\n" );
document.write( "x = 12/5<BR>\n" );
document.write( "Working together, the painter and her assistant can paint the house in 12/5 hr.<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "1/4(12/5) + 1/6(12/5) = 1<BR>\n" );
document.write( "12/20 + 12/30 = 1<BR>\n" );
document.write( "36/60 + 24/60 = 1<BR>\n" );
document.write( "60/60 = 1<BR>\n" );
document.write( "1 = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );