document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128327>Question 128327</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618044302/algebrahomeworkh>algebra structure and method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I dont understand what we have to do for this problem.\r<BR>\n" );
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document.write( "Working alone, Anton can install a brick patio in 2 hours less than Bill. Together Anton and Bill can install the patio in 4 hours. To the nearest tenth of an hour, how long does it take Bill to install the patio working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93954 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=93954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working alone, Anton can install a brick patio in 2 hours less than Bill. Together Anton and Bill can install the patio in 4 hours. To the nearest tenth of an hour, how long does it take Bill to install the patio working alone?<BR>\n" );
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document.write( "Bill DATA:<BR>\n" );
document.write( "Time = x hrs/job ; Rate = 1/x job/hr<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Anto DATA:<BR>\n" );
document.write( "Time = (x-2) hrs/job ; Rate = 1/(x-2) job/hr<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "Time = 4 hrs/job ; Rate = 1/4 job/hr<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-2) = 1/4<BR>\n" );
document.write( "Multiply thru by 4x(x-2) to get:<BR>\n" );
document.write( "4(x-2) + 4x = x(x-2)<BR>\n" );
document.write( "8x - 8 = x^2-2x<BR>\n" );
document.write( "x^2-10x+8 = 0<BR>\n" );
document.write( "x = [10 +- sqrt(100-4*8)]/2<BR>\n" );
document.write( "x = [10 +- sqrt(68)]/2<BR>\n" );
document.write( "Positive answer:<BR>\n" );
document.write( "x = (10 + sqrt(68))/2<BR>\n" );
document.write( "x = 9.1231 hrs (Time is takes Bill to do the job)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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