document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631022>Question 631022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Christopher can paint his house in 66 hrs. If he hires cynthia to help him they can do the same job together in 54hrs. If he lets cynthia work alone, how long will it take her to paint the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397280 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=397280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Christopher can paint his house in 66 hrs. If he hires cynthia to help him they can do the same job together in 54hrs. If he lets cynthia work alone, how long will it take her to paint the house?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time (hours) it takes Cynthia to work alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "54(1/66 + 1/x) = 1<BR>\n" );
document.write( "54(x + 66) = 66x<BR>\n" );
document.write( "54x + 3564 = 66x<BR>\n" );
document.write( "3564 = 12x<BR>\n" );
document.write( "297 hours = x<BR>\n" );
document.write( " </SPAN>\n" );
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