document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135923>Question 135923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A & B working together can do a job for 10 days.If each works alone A takes 5 days longer than B to do the job.How long will it take each one of them to do the job.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99587 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x= amount of time in days that it takes B to do the job working alone\r<BR>\n" );
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document.write( "B, then, works at the rate of 1/x of the job per day<BR>\n" );
document.write( "x+5=amount of time in days that it takes A working alone<BR>\n" );
document.write( "A, then, works at the rate of 1/(x+5) of the job per day\r<BR>\n" );
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document.write( "Together A&B works at the rate of 1/x + 1/(x+5)=(x+5+x)/x(x+5)=<BR>\n" );
document.write( "(2x+5)/x(x+5) of the job per day, we are told that, working together, it takes them 10 days so our equation to solve is\r<BR>\n" );
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document.write( "((2x+5)/x(x+5))*10=1 (1 job, that is) multiply each term by x(x+5)<BR>\n" );
document.write( "10(2x+5)=x(x+5)<BR>\n" );
document.write( "20x+50=x^2+5x  subtract 20x and 50 from each side\r<BR>\n" );
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document.write( "x^2-15x-50=0  quadratic in standard form; solve using the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B-+sqrt%28+225%2B200+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B-+sqrt%28+225%2B200+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B-+20.616%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B-+20.616%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B20.616%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B20.616%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+17.808 ALIGN=MIDDLE  ALT=\"x+=+17.808\"   DISABLED_style= \"max-width:90%; height:auto;\" > days ---------------------amount of time needed by B working alone<BR>\n" );
document.write( "17.808+5=22.808----------------------------amount of time needed by A working alone\r<BR>\n" );
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document.write( "FORGET THE NEGATIVE VALUE FOR x, TIME WOULD BE POSITIVE IN THIS CASE\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "(1/17.808)+(1/22.808)=1/10\r<BR>\n" );
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document.write( "0.05615+0.0438=0.1<BR>\n" );
document.write( "0.099999~~~~~~0.1\r<BR>\n" );
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document.write( "Hope this helps ------ptaylor\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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