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 #93946 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All this says is that if you take any 2 people who are<BR>\n" );
document.write( "able to do a certain job, one of them usually works<BR>\n" );
document.write( "faster than the other, but if you are able to put<BR>\n" );
document.write( "both of them to work on the same job, then they will<BR>\n" );
document.write( "get it done faster than even the faster person<BR>\n" );
document.write( "could do it alone.<BR>\n" );
document.write( "In words,<BR>\n" );
document.write( "(Anton's rate of working) + (Bill's rate of working) =<BR>\n" );
document.write( "(their rate of working together)<BR>\n" );
document.write( "And in more exact words,<BR>\n" );
document.write( "{1 patio)/(Anton's time) + (1 patio)/(Bill's time) =<BR>\n" );
document.write( "(1 patio)/ (their times working together)<BR>\n" );
document.write( "Now with numbers:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Anton's time working alone<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Bill's time working alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+B+-+2 ALIGN=MIDDLE  ALT=\"A+=+B+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FA+%2B+1%2FB+=+1%2F4 ALIGN=MIDDLE  ALT=\"1%2FA+%2B+1%2FB+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides of the equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4AB ALIGN=MIDDLE  ALT=\"4AB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B+%2B+4A+=+AB ALIGN=MIDDLE  ALT=\"4B+%2B+4A+=+AB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B+%2B+4%28B+-+2%29+=+%28B+-+2%29%2AB ALIGN=MIDDLE  ALT=\"4B+%2B+4%28B+-+2%29+=+%28B+-+2%29%2AB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B+%2B+4B+-+8+=+B%5E2+-+2B ALIGN=MIDDLE  ALT=\"4B+%2B+4B+-+8+=+B%5E2+-+2B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+10B+%2B+8+=+0 ALIGN=MIDDLE  ALT=\"B%5E2+-+10B+%2B+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+10B+%2B+25+=+-8+%2B+25 ALIGN=MIDDLE  ALT=\"B%5E2+-+10B+%2B+25+=+-8+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+-+5%29%5E2+=+17 ALIGN=MIDDLE  ALT=\"B+-+5%29%5E2+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+-+5+=+sqrt%2817%29 ALIGN=MIDDLE  ALT=\"B+-+5+=+sqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+sqrt%2817%29+%2B+5 ALIGN=MIDDLE  ALT=\"B+=+sqrt%2817%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+9.123 ALIGN=MIDDLE  ALT=\"B+=+9.123\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other solution is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+-sqrt%2817%29+%2B+5 ALIGN=MIDDLE  ALT=\"B+=+-sqrt%2817%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > since there are 2 square roots (+) and (-)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+.877 ALIGN=MIDDLE  ALT=\"B+=+.877\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The larger  number is the only one that makes sense<BR>\n" );
document.write( "Bill takes 9.1 hours working alone<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+B+-+2 ALIGN=MIDDLE  ALT=\"A+=+B+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+9.123+-+2 ALIGN=MIDDLE  ALT=\"A+=+9.123+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+7.123 ALIGN=MIDDLE  ALT=\"A+=+7.123\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7.123+%2B+1%2F9.123+=+1%2F4 ALIGN=MIDDLE  ALT=\"1%2F7.123+%2B+1%2F9.123+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.14039+%2B+.10961+=+.25 ALIGN=MIDDLE  ALT=\".14039+%2B+.10961+=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.250003+=+.25 ALIGN=MIDDLE  ALT=\".250003+=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > close enough </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );