document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305143>Question 305143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together,Andrea and Lisa can clean a 2,000 square foot house in 4.5 hours.  Working alone, Lisa can clean a 2,000 square foot house in 6 hours. How long will it take Andrea to clean a 2,000 square foot house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218478 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=218478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Working together,Andrea and Lisa can clean a 2,000 square foot house in 4.5 hours. Working alone, Lisa can clean a 2,000 square foot house in 6 hours. How long will it take Andrea to clean a 2,000 square foot house?<BR>\n" );
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document.write( "Let x = time it takes for Andrea to clean the house by herself<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4.5(1/6 + 1/x) = 1<BR>\n" );
document.write( "Multiplying both sides by 6x:<BR>\n" );
document.write( "4.5(x + 6) = 6x<BR>\n" );
document.write( "4.5x + 27 = 6x<BR>\n" );
document.write( "27 = 1.5x<BR>\n" );
document.write( "18 hours = x\r<BR>\n" );
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