document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885095>Question 885095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destiny to paint the room it they are 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 #534936 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=534936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time (hours) it takes for both <BR>\n" );
document.write( "then<BR>\n" );
document.write( "x(1/8 + 1/6) = 1<BR>\n" );
document.write( "multiplying both sides by 24 (common denominator):<BR>\n" );
document.write( "x(3 + 4) = 24<BR>\n" );
document.write( "x(7) = 24<BR>\n" );
document.write( "x = 24/7<BR>\n" );
document.write( "x = 3.429 hours<BR>\n" );
document.write( "or <BR>\n" );
document.write( "x = 3 hours and 26 minutes </SPAN>\n" );
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