document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964538>Question 964538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done it alone, it would have taken her seven hours. How long would it have taken Beth if she had worked alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589394 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=589394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done it alone, it would have taken her seven hours. How long would it have taken Beth if she had worked alone.<BR>\n" );
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document.write( "Equate rates::<BR>\n" );
document.write( "b + a = 1/3<BR>\n" );
document.write( "a = 1/7<BR>\n" );
document.write( "b = (1/3)-(1/7)<BR>\n" );
document.write( "b = (7-3)/21 = 4/21 (Beth's rate<BR>\n" );
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document.write( "Ans:: Beth's time = 21/4 = 5 hr 15 min (to do the job alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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