document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044195>Question 1044195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You  are  the  gardener hired  by  a  landscape architect. In  digging a garden. You  work  twice  as  fast  as  your  assistant. Together, you  can  finish  the  job  in 4hours. You  need  to  find  out  how  long  it  can finish the job  if  each of  you  works  alone. To  this  first  you  have  to  determine the  expressions  that  represents the  job  completed  based  on  your  individual  work  rates. You  have  to  fill  the  table  below </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659474 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=659474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will do this without the table.<BR>\n" );
document.write( "It takes you x hours to do this<BR>\n" );
document.write( "in 1 hour, you do 1/x of the garden<BR>\n" );
document.write( "It takes your assistant 2x hours to do it<BR>\n" );
document.write( "in 1 hour, the assistant does 1/2x of the garden<BR>\n" );
document.write( "In 1 hour, you do 1/4 of the garden together.<BR>\n" );
document.write( "(1/x)+(1/2x)=1/4<BR>\n" );
document.write( "multiply by common denominator of 4x<BR>\n" );
document.write( "4+2=x<BR>\n" );
document.write( "x=6 hours, your time<BR>\n" );
document.write( "2x=12 hours, the assistant's time<BR>\n" );
document.write( "Two-thirds of the work is done by you; one-third by your assistant<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );