document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906764>Question 906764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes a paint the entire house. Working together, they can complete the job in 6 hours.\r<BR>\n" );
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document.write( "*What equation represents the situation?<BR>\n" );
document.write( "*How long would it take Jessie and Mark if each work alone in painting the entire house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550116 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/j+1/m=1/x<BR>\n" );
document.write( "j=m+5<BR>\n" );
document.write( "1/(m+5)+1/m=1/6\r<BR>\n" );
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document.write( "1/x+1/(x+5)=1/6<BR>\n" );
document.write( "(6*x*(x+5))/x+(6*x*(x+5))/(x+5)=(6*x*(x+5))/6<BR>\n" );
document.write( "(6*(x+5))+6*x=x*(x+5)<BR>\n" );
document.write( "6*x+30+6*x=x^2+5*x<BR>\n" );
document.write( "12*x+30=x^2+5*x<BR>\n" );
document.write( "x^2-7*x-30=0<BR>\n" );
document.write( "x^2-7*x=30<BR>\n" );
document.write( "add it<BR>\n" );
document.write( "x^2-7*x+(-7/2)=30+(-7/2)<BR>\n" );
document.write( "square it<BR>\n" );
document.write( "x^2-7*x+(49/4)=30+(49/4)<BR>\n" );
document.write( "x^2-7*x+(12.25)=30+(12.25)<BR>\n" );
document.write( "x^2-7*x+(12.25)=42.25<BR>\n" );
document.write( "(x-3.5)^2=42.25<BR>\n" );
document.write( "(x-3.5)^2=42.25<BR>\n" );
document.write( "we can continue<BR>\n" );
document.write( "x-3.5=+-6.5<BR>\n" );
document.write( "x=3.5+-6.5<BR>\n" );
document.write( "Positive useful answer:<BR>\n" );
document.write( "x=3.5+6.5<BR>\n" );
document.write( "One answer is x=10<BR>\n" );
document.write( "x+5=5+10<BR>\n" );
document.write( "x+5=15<BR>\n" );
document.write( "check<BR>\n" );
document.write( "1/x+1/(x+5)=1/6<BR>\n" );
document.write( "1/10+1/(10+5)=1/6<BR>\n" );
document.write( "1/10+1/15=1/6<BR>\n" );
document.write( "6/60+4/60=1/6<BR>\n" );
document.write( "10/60=1/6<BR>\n" );
document.write( "1/6=1/6<BR>\n" );
document.write( "ok\r<BR>\n" );
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document.write( "Negative useless answer:<BR>\n" );
document.write( "x=3.5-6.5<BR>\n" );
document.write( "Negative answer is x=-3.0<BR>\n" );
document.write( "For real life cases involving time, distance and other measurements, we reject the negative results\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );