document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653389>Question 653389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jet plane, flying  mph faster than a propeller plane, travels 5940 miles in 6 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408377 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=408377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You didn't share the value of the speed difference, so we'll just call that value <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \delta\">.  We'll let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE r\"> represent the faster speed and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\"> represent the time taken by the faster aircraft.\r<BR>\n" );
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document.write( "Time is equal to distance divided by rate, so for the jet:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5940}{r}\ =\ t\">\r<BR>\n" );
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document.write( "And for the slower plane:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5940}{r\ -\ \delta}\ =\ t\ +\ 6\">\r<BR>\n" );
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document.write( "Add -6 to both sides and apply the LCD to combine the fractions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5940\ -\ 6\left(r\ -\ \delta\right)}{r\ -\ \delta}\ =\ t\">\r<BR>\n" );
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document.write( "Now that you have two expressions both equal to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\">, set them equal to each other:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5940\ -\ 6\left(r\ -\ \delta\right)}{r\ -\ \delta}\ =\ \frac{5940}{r}\">\r<BR>\n" );
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document.write( "Once you have your difference value, plug it in.  Then cross-multiply, collect like terms into the LHS, and solve the quadratic. Discard the negative root.\r<BR>\n" );
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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( "My calculator said it, I believe it, that settles it<BR>\n" );
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