document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=301708>Question 301708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem but cannot figure out the equation (formnula) necessary to find the answer. All the examples I can find give me the rates but not the total time, but this one is the opposite.\r<BR>\n" );
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document.write( "Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?\r<BR>\n" );
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document.write( "Thank you for your help.\r<BR>\n" );
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document.write( "Jonathan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216318 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=216318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone? <BR>\n" );
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document.write( "Let x = number of hours if Jenny worked alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5.14(1/x + 1/12) = 1<BR>\n" );
document.write( "Multiplying both sides by 12x we have:<BR>\n" );
document.write( "5.14(12 + x) = 12x<BR>\n" );
document.write( "61.68 + 5.14x = 12x<BR>\n" );
document.write( "61.68 = 6.86x<BR>\n" );
document.write( "9 hours = x<BR>\n" );
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