document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086614>Question 1086614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two typists working together can type a report in 2.4 hrs. if either had to type the report all alone, it would take the 1st typist 2 hrs longer than the 2nd typist. how long would it take for each typist to type the said report? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700850 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t = the number of hours the 2nd typist takes working alone<BR>\n" );
document.write( "So the rate of the 2nd typist is 1/t<BR>\n" );
document.write( "Since the 1st typist takes t+2 hours, their rate is 1/(t+2)<BR>\n" );
document.write( "Working together, their combined rate is 1/t + 1/(t+2) = 1/2.4<BR>\n" );
document.write( "Solve for t:<BR>\n" );
document.write( "(2t+2)/(t^2+2t) = 1/2.4<BR>\n" );
document.write( "t^2 -2.8t - 4.8 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(t+1.2)(t-4) = 0<BR>\n" );
document.write( "We take the positive solution, t = 4<BR>\n" );
document.write( "Thus the 1st typist takes 6 hours, and the 2nd typist takes 4 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );