document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188612>Question 188612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?\r<BR>\n" );
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document.write( "I would like you to do this problem step by step and explain because it's hard for me to understand.Thanks A lot! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141415 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=141415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?\r<BR>\n" );
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document.write( "------------------------<BR>\n" );
document.write( "Faster maid DATA:<BR>\n" );
document.write( "time = x hr/job ; rate = 1/x job/jhr<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Slower maid DATA:<BR>\n" );
document.write( "time = 3x hr/job ; rate = 1/3x job/hr<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "time = 3 hr/job ; rate = 1/3 job/hr<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/3x = 1/3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Multiply thru by 3x to get:<BR>\n" );
document.write( "3 + 1 = x<BR>\n" );
document.write( "x = 4 hrs (time for the faster maid to do the job)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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