document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155727>Question 1155727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Michael can do a job 2 hours faster than Dennis. Together they can complete the work in 5 hours. How long would it take Michael to do the job alone? <BR>\n" );
document.write( "(Round your answer to the nearest tenth of an hour.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778362 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=778362\">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;\" > = the time in hrs it takes Dennis to do the job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+2+ ALIGN=MIDDLE  ALT=\"+t+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hrs it takes Michael to do the job<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Dennis's rate of working:<BR>\n" );
document.write( "[ 1 job ] / [ t hrs ]<BR>\n" );
document.write( "Michael's rate of working:<BR>\n" );
document.write( "[ 1 job ] / [ t - 2 hrs ] <BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Add their rates of working 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-2+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-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-2+%29%2A5+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t-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+-+2+%29+%2B+5t+=+t%2A%28+t-2+%29+ ALIGN=MIDDLE  ALT=\"+5%2A%28+t+-+2+%29+%2B+5t+=+t%2A%28+t-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+-+10+%2B+5t+=+t%5E2+-+2t+ ALIGN=MIDDLE  ALT=\"+5t+-+10+%2B+5t+=+t%5E2+-+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+-+12t+%2B+10+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+12t+%2B+10+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Use 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+=+-12+ ALIGN=MIDDLE  ALT=\"+b+=+-12+\"   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( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-%28-12%29+%2B-+sqrt%28+%28-12%29%5E2-4%2A1%2A10+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-12%29+%2B-+sqrt%28+%28-12%29%5E2-4%2A1%2A10+%29%29%2F%282%2A1%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+12+%2B-+sqrt%28+144+-+40+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+12+%2B-+sqrt%28+144+-+40+%29%29%2F2+\"   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+12+%2B+10.198+%29%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+12+%2B+10.198+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+22.198+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+22.198+%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+=+11.099+ ALIGN=MIDDLE  ALT=\"+t+=+11.099+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+2+=+9.099+ ALIGN=MIDDLE  ALT=\"+t+-+2+=+9.099+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Rounded off, Michael's time to do the job alone is:<BR>\n" );
document.write( "9.1 hrs<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-2+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-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%2F11.099+%2B+1%2F9.099+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2F11.099+%2B+1%2F9.099+=+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=+.0901+%2B+.1099+=+.2+ ALIGN=MIDDLE  ALT=\"+.0901+%2B+.1099+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2009+=+.2+ ALIGN=MIDDLE  ALT=\"+.2009+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Error due to rounding off, I believe<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Get a 2nd opinion also, if needed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );