document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768485>Question 768485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help I don't know how to set up an equation to solve this problem\r<BR>\n" );
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document.write( "Brian takes 2 hours longer to complete a job than Shane. If they can complete the job together in 5 hours, find how long it takes each person to complete the job alone.<BR>\n" );
document.write( "?????<BR>\n" );
document.write( "1/x+1/(x+2)=x ??? this is what I tried <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468312 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=468312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Shane's time in hrs <BR>\n" );
document.write( "to complete job working alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+2+ ALIGN=MIDDLE  ALT=\"+t+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Brian's time to complete<BR>\n" );
document.write( "job working alone<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Shane's rate of working:<BR>\n" );
document.write( "( 1 job done ) / ( t hrs )<BR>\n" );
document.write( "Brian's rate of working:<BR>\n" );
document.write( "( 1 job done ) / ( t + 2 hrs )<BR>\n" );
document.write( "Their rate working together:<BR>\n" );
document.write( "( 1 job done ) / ( 5 hrs )<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Add their rates to get their rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+%2B+2+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+2+%29+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t+%2B+2+%29%2A5+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t+%2B+2+%29%2A5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28+t+%2B+2+%29+%2B+5t+=+t%2A%28+t+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+5%2A%28+t+%2B+2+%29+%2B+5t+=+t%2A%28+t+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t+%2B+10+%2B+5t+=+t%5E2+%2B+2t+ ALIGN=MIDDLE  ALT=\"+5t+%2B+10+%2B+5t+=+t%5E2+%2B+2t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-t%5E2+%2B+8t+%2B+10+=+0+ ALIGN=MIDDLE  ALT=\"+-t%5E2+%2B+8t+%2B+10+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%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=+a+=+-1+ ALIGN=MIDDLE  ALT=\"+a+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+8+ ALIGN=MIDDLE  ALT=\"+b+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+10+ ALIGN=MIDDLE  ALT=\"+c+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-8+%2B-+sqrt%28+8%5E2+-+4%2A%28-1%29%2A10+%29%29+%2F+%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-8+%2B-+sqrt%28+8%5E2+-+4%2A%28-1%29%2A10+%29%29+%2F+%282%2A%28-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-8+%2B-+sqrt%28+64+%2B+40+%29%29+%2F+%28+-2+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-8+%2B-+sqrt%28+64+%2B+40+%29%29+%2F+%28+-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-8+%2B-+sqrt%28++104+%29%29+%2F+%28+-2+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-8+%2B-+sqrt%28++104+%29%29+%2F+%28+-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-8+-+10.2+%29+%2F+%28+-2+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-8+-+10.2+%29+%2F+%28+-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+18.2+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+18.2+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+9.1+ ALIGN=MIDDLE  ALT=\"+t+=+9.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+2+=+11.1+ ALIGN=MIDDLE  ALT=\"+t+%2B+2+=+11.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that using the positive square root gives me<BR>\n" );
document.write( "a negative answer for time, so I used the negative<BR>\n" );
document.write( "square root<BR>\n" );
document.write( "Working alone, Shane takes 9.1 hrs<BR>\n" );
document.write( "Brian takes 11.1 hrs<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+%2B+2+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+2+%29+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F9.1+%2B+1%2F11.1+=+.2+ ALIGN=MIDDLE  ALT=\"+1%2F9.1+%2B+1%2F11.1+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.11+%2B+.09+=+.2+ ALIGN=MIDDLE  ALT=\"+.11+%2B+.09+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2+=+.2+ ALIGN=MIDDLE  ALT=\"+.2+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );