document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568307>Question 568307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a painter can finish painting a house in 8 hours. Her assistant takes 10 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 #366904 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=366904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working together?<BR>\n" );
document.write( "Let x = time (hours) it takes working together<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x(1/8 + 1/10) = 1<BR>\n" );
document.write( "multiplying both sides by 80:<BR>\n" );
document.write( "x(10 + 8) = 80<BR>\n" );
document.write( "x(18) = 80<BR>\n" );
document.write( "x = 80/18<BR>\n" );
document.write( "x = 4.44 hours<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = 4 hours and 27 minutes </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );