document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964060>Question 964060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student can type a 32 page essay in three hours. The students friend can type the paper in two hours. If they work together how long would it take them to type the paper together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589028 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let s = the rate of the student in papers/hour<BR>\n" );
document.write( "Let f = the rate of the friend in papers/hour<BR>\n" );
document.write( "s*3  = 1 paper<BR>\n" );
document.write( "divide each side by 3<BR>\n" );
document.write( "s = 1/3 paper per hour<BR>\n" );
document.write( "f*2 = 1 paper<BR>\n" );
document.write( "divide each side by 2<BR>\n" );
document.write( "f = 1/2 paper per hour\r<BR>\n" );
document.write( "\n" );
document.write( "Let t = the time to complete the paper<BR>\n" );
document.write( "s*t + f*t = 1 paper<BR>\n" );
document.write( "(1/3)t + (1/2)t = 1 paper<BR>\n" );
document.write( "multiply each side by 6<BR>\n" );
document.write( " 2t + 3t = 6<BR>\n" );
document.write( " 5t = 6<BR>\n" );
document.write( "divide by 5<BR>\n" );
document.write( " t = 6/5 hours\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );