document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143346>Question 143346</A>: <I><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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104318 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104318\">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 t = time required for J to do the job alone<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.14%2F12 ALIGN=MIDDLE  ALT=\"5.14%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.14%2Ft ALIGN=MIDDLE  ALT=\"5.14%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 12t to get rid of the denominators:<BR>\n" );
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document.write( "5.14t + 12(5.14) = 12t(1)<BR>\n" );
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document.write( "5.14t + 61.68 = 12t<BR>\n" );
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document.write( "61.68 = 12t - 5.14t<BR>\n" );
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document.write( "61.68 = 6.86t<BR>\n" );
document.write( "t =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61.68%2F6.86 ALIGN=MIDDLE  ALT=\"61.68%2F6.86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 8.99 ~ 9 hrs J's time alone<BR>\n" );
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document.write( "Check solution using original equation<BR>\n" );
document.write( "5.14/12 + 5.14/9 =<BR>\n" );
document.write( ".4283 + .5711 = .999 ~ 1<BR>\n" );
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