document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982445>Question 982445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 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 #603256 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=603256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.<BR>\n" );
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document.write( "Hannah rate:: 1/9 job/hr<BR>\n" );
document.write( "Destiny rate:: 1/12 job/hr<BR>\n" );
document.write( "Together rate:: 1/x job/hr<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/9 + 1/12 = 1/x<BR>\n" );
document.write( "12x + 9x = 9*12<BR>\n" );
document.write( "21x = 108<BR>\n" );
document.write( "x = 5.143 hrs = 5 hr 8min 34sec (time to do the job together)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );