document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=623852>Question 623852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam can do a certain job in six days. After working alone for three days, he is joined by Katy, and together they finish the work in one more day. How long would it take Katy alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392348 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=392348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sam can do a certain job in six days. After working alone for three days, he is joined by Katy, and together they finish the work in one more day. How long would it take Katy alone?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=how long it would take for Katy to do the job alone<BR>\n" );
document.write( "1/x=Katy's work rate<BR>\n" );
document.write( "1/6=Sam\"s work rate<BR>\n" );
document.write( "sam worked 4 days<BR>\n" );
document.write( "katy worked one day<BR>\n" );
document.write( "worked done=work rate*time on job<BR>\n" );
document.write( "4(1/6)+1(1/x)=100% of the job<BR>\n" );
document.write( "4/6+1/x=1<BR>\n" );
document.write( "1/x=1-4/6=1-2/3=1/3<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "how long would it take for Katy to do the job alone=3hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );