document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96230>Question 96230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two teams work in a factory making couches.  Team A can make a couch in 3 hours less than team B.  Working together, they canmake a couch in 2 hours.  How long does it take each team working alone to make a couch?\r<BR>\n" );
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document.write( "Team A:_____________  Team B:___________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70056 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=70056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two teams work in a factory making couches.  Team A can make a couch in 3 hours less than team B.  Working together, they canmake a couch in 2 hours.  How long does it take each team working alone to make a couch?\r<BR>\n" );
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document.write( "Team A DATA:<BR>\n" );
document.write( "time = x-3 hrs/job : rate = 1/(x-3) job/hr<BR>\n" );
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document.write( "Team B DATA:<BR>\n" );
document.write( "time = x hr/job ; rate = 1/x job/hr<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "time = 2 hrs; rate = 1/2 job/hr<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "A rate + B rate = together rate<BR>\n" );
document.write( "1/(x-3) + 1/x = 1/2<BR>\n" );
document.write( "Multiply thru by 2x(x-3) to get:<BR>\n" );
document.write( "2x + 2(x-3) = x(x-3)<BR>\n" );
document.write( "4x-6 = x^2-3x<BR>\n" );
document.write( "x^2-7x+6=0<BR>\n" );
document.write( "(x-6)(x-1)=0<BR>\n" );
document.write( "x=6 or x=1<BR>\n" );
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document.write( "Only x=6 gives positive results for x and x-3<BR>\n" );
document.write( "A time to do the job = x-3 = 6-3 = 3 hrs<BR>\n" );
document.write( "B time to do the job = x = 6 hrs<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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