document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79403>Question 79403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've got a word problem that has me stumped.  Here it is:\r<BR>\n" );
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document.write( "Working together, Kent and Monica can paint the interior of a 2000 square-foot home in 10hours.  If Kent paint the house by himself, it will take 2 hours longer than if Monica paints the home by herself.  How long will it take each person to paint the house working alone?\r<BR>\n" );
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document.write( "Thanks so much!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56991 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=56991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> :<BR>\n" );
document.write( "Working together, Kent and Monica can paint the interior of a 2000 square-foot home in 10hours. If Kent paints the house by himself, it will take 2 hours longer than if Monica paints the home by herself. How long will it take each person to paint the house working alone? <BR>\n" );
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document.write( "Let t = time for M to do the job by herself:<BR>\n" );
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document.write( "It says:\"If Kent paint the house by himself, it will take 2 hours longer than if Monica paints the home by herself.\" therefore:<BR>\n" );
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document.write( "(t+2) = time for K to do the job<BR>\n" );
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document.write( "Let the completed job = 1; (we don't care how big the house is)<BR>\n" );
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document.write( "A simple equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ft ALIGN=MIDDLE  ALT=\"10%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28%28t%2B2%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28t%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by t(t+2) and we have:<BR>\n" );
document.write( "10(t+2) + 10t = t(t+2)<BR>\n" );
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document.write( "10t + 20 + 10t = t^2 + 2t<BR>\n" );
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document.write( "20t + 20 = t^2 + 2t<BR>\n" );
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document.write( "Arrange as a quadratic equation:<BR>\n" );
document.write( "t^2 + 2t - 20t - 20 = 0<BR>\n" );
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document.write( "t^2 - 18t - 20 = 0<BR>\n" );
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document.write( "you will have to use the quadratic formula to find t: a=1; b=-18; c=-20<BR>\n" );
document.write( "I got t = -1.05 and t = +19.05, the obvious solution<BR>\n" );
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document.write( "M's time = 19.05 hrs<BR>\n" );
document.write( "K's time = 21.05 hrs<BR>\n" );
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document.write( "Check our solutions on a calc:<BR>\n" );
document.write( "10/19.05 + 10/21.05 = 1.0<BR>\n" );
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document.write( "Could this used as \"stump remover\" do you think? <BR>\n" );
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