document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190059>Question 190059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)\r<BR>\n" );
document.write( "\n" );
document.write( "*A twin engine plane can fly 800 miles in the same amount of time that it takes a single engine plane to fly 600 miles. The rate of the twin engine plane is 50 mph faster than that of the single engine plane. Find the rate of each plane.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142621 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let <i>r</i> be the rate of the slower plane and then <i>r</i> + 50 must be the rate of the faster plane.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  d = rt\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we can also say:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  t = \frac{d}{r}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So for the slower plane's trip:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  t = \frac{600}{r} \">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and for the faster plane's trip:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  t = \frac{800}{r+50}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since both trips were completed in the same amount of time,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{600}{r} = \frac{800}{r+50}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cross-multiply:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 800r = 600(r + 50)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now solve for r to get the speed of the slower plane and add 50 to that to get the speed of the faster one.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );