document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823648>Question 823648</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Amy can clean the house twice as fast as Thomas.  Together, they can clean the house in 6 hours.  How long would it take each of them working alone to clean the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495662 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=495662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amy can clean the house twice as fast as Thomas. Together, they can clean the house in 6 hours. How long would it take each of them working alone to clean the house?<BR>\n" );
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document.write( "Thomas:: time = 2x hr/job ; rate = 1/(2x) job/hr<BR>\n" );
document.write( "Amy:::: time = x hr/job ; rate = 1/x job/hr<BR>\n" );
document.write( "Together: time = 6 hr/job ; rate = 1/6 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/(2x) + 1/x = 1/6<BR>\n" );
document.write( "Multiply thru by 6x to get:<BR>\n" );
document.write( "3 + 6 = x<BR>\n" );
document.write( "x = 9 (Amy's time to do the job alone)<BR>\n" );
document.write( "2x = 18 (Thomas's time to do the job alone<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );