document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384665>Question 384665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joshua and Geraldine can finish cleaning the house in 2 hours. If it takes Joshua working alone 3 hours longer than it takes Geraldine working alone, how many hours will each need to finish the work alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272312 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Joshua and Geraldine can finish cleaning the house in 2 hours. If it takes Joshua working alone 3 hours longer than it takes Geraldine working alone, how many hours will each need to finish the work alone?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Geraldine = xhours<BR>\n" );
document.write( "Joshua x+3 hours<BR>\n" );
document.write( "they both can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%29%2B1%2F%28x%2B3%29%29%29%29+of+the+job+in+1+hour%0D%0A...%0D%0A%7B%7B%7B%28x%2B3%2Bx%29%2F%28x%28x-3%29%29 ALIGN=MIDDLE   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=%282x%2B3%29%2F%28x%5E2-3x%29 ALIGN=MIDDLE  ALT=\"%282x%2B3%29%2F%28x%5E2-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "they will take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x%29%2F%282x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-3x%29%2F%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to complete the job<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x%29%2F%282x%2B3%29=2 ALIGN=MIDDLE  ALT=\"%28x%5E2-3x%29%2F%282x%2B3%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2-3x=2(2x+3)<BR>\n" );
document.write( "x^2-3x=4x+6<BR>\n" );
document.write( "x^2-3x-4x-6=0<BR>\n" );
document.write( "x^2-7x-6=0<BR>\n" );
document.write( "discriminant = 73<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%287%2Bsqrt73%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x1=%287%2Bsqrt73%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1=7.77 hours<BR>\n" );
document.write( "Geraldine<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%287.77%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%287.77%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours<BR>\n" );
document.write( "Joshua<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%2810.77%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%2810.77%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x2 will be negative so ignore<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );