document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210711>Question 210711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam takes 6 days less than the number of days taken by John to complete a piece of work. If both Sam and John together can complete the same work in 4 days. In how many days will john complete the work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159203 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=159203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Sam takes 6 days less than the number of days taken by John to complete a piece of work. If both Sam and John together can complete the same work in 4 days. In how many days will john complete the work?<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "John DATA:<BR>\n" );
document.write( "time = x day/job ; rate = 1/x job/day<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Sam DATA:<BR>\n" );
document.write( "time = x-6 days/job ; rate = 1/(x-6) job/day<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "time = 4 days/job ; rate = 1/4 job/day<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-6) = 1/4<BR>\n" );
document.write( "4(x-6) + 4x = x(x-6)<BR>\n" );
document.write( "4x - 24 + 4x = x^2 - 6x<BR>\n" );
document.write( "x^2 - 14x +24 = 0<BR>\n" );
document.write( "x^2 - 12x - 2x + 24 = 0<BR>\n" );
document.write( "x(x-12)-2(x-12) = 0<BR>\n" );
document.write( "(x-12)(x-2) = 0<BR>\n" );
document.write( "To get a positive solution for Sam and John:<BR>\n" );
document.write( "x = 12 days (John time)<BR>\n" );
document.write( "x-6 = 6 days (Sam time)<BR>\n" );
document.write( "=======================<BR>\n" );
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" );