document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815652>Question 815652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this word problem.<BR>\n" );
document.write( "Working together, two people can clean an office building in 5 hr.  One person is new to the job and would take 2 hr longer than the other person to clean the building alone.  How long would it take the new worker to clean the building alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491138 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, two people can clean an office building in 5 hr.<BR>\n" );
document.write( " One person is new to the job and would take 2 hr longer than the other person to clean the building alone.<BR>\n" );
document.write( " How long would it take the new worker to clean the building alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required by the new guy to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-2) = time required by the old guy<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1 (a clean office building)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ft ALIGN=MIDDLE  ALT=\"5%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28%28t-2%29%29 ALIGN=MIDDLE  ALT=\"5%2F%28%28t-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply t(t-2) to clear the denominators, results:<BR>\n" );
document.write( "5(t-2) + 5t = t(t-2)<BR>\n" );
document.write( "5t - 10 + 5t = t^2 - 2t<BR>\n" );
document.write( "10t - 10 = t^2 - 2t<BR>\n" );
document.write( "Arrange as a quadratic on the right<BR>\n" );
document.write( "0 = t^2 - 2t - 10t + 10 = 0<BR>\n" );
document.write( "t^2 - 12t + 10 = 0<BR>\n" );
document.write( "Use the quadratic formula to find t<BR>\n" );
document.write( "I got a reasonable answer of 11.1 hrs for the new guy<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this (Old guy takes 9.1 hrs alone)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F11.1 ALIGN=MIDDLE  ALT=\"5%2F11.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9.1 ALIGN=MIDDLE  ALT=\"5%2F9.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".45 + .55 = 1.0 </SPAN>\n" );
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