document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903411>Question 903411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two workmen can paint a house together in 6 and 1/3 days. in how many days can each paint it alone if it takes one of them two days longer than the other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547987 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=547987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two workmen can paint a house together in 6 and 1/3 days. in how many days can each paint it alone if it takes one of them two days longer than the other?<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Together DATA::<BR>\n" );
document.write( "time = 19/3 days/job ; rate = 3/19 job/day<BR>\n" );
document.write( "---<BR>\n" );
document.write( "One's DATA:<BR>\n" );
document.write( "time = x days/job ; rate = 1/x job/day<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Other's DATA:<BR>\n" );
document.write( "time = x+2 day/job ; rate = 1/(x+2) job/day<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+2) = 3/19<BR>\n" );
document.write( "19(x+2) + 19x = 3x(x+2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "38x + 38 = 3x^2 + 6x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3x^2 - 35x - 38 = 0<BR>\n" );
document.write( "(3x-38)(x+1) = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "x = 38/3 = 12 1/3 days (time for One to do the job alone)<BR>\n" );
document.write( "x+2 = 14 1/3 days (time for Other to do the job alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );