document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77967>Question 77967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together, Carmen and Jay can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 times faster than Jay. Find the time that each person takes to prepare a catered dinner. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55848 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=55848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x(x/5)/x+(x/5)=20<BR>\n" );
document.write( "(x^2/5)/[(5x+x)/5]=20 <BR>\n" );
document.write( "(x^2/5)/(6x/5)=20 cross multiply<BR>\n" );
document.write( "(x^2/5)=20(6x/5)<BR>\n" );
document.write( "x^2/5=120x/5<BR>\n" );
document.write( "x^2-120x=0<BR>\n" );
document.write( "x(x-120)=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x-120=0<BR>\n" );
document.write( "x=120 hours answer. amount of time it takes for Jay alone.<BR>\n" );
document.write( "120/5=24 hours for Carman alone. <BR>\n" );
document.write( "proof<BR>\n" );
document.write( "120*24/(120+24)=20<BR>\n" );
document.write( "2880/144=20<BR>\n" );
document.write( "20=20<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );