document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459130>Question 459130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With a strong wind behind it, a Delta jet flies 2400 miles from Los Angeles to Orlando in 4 hours and 45 minutes. The return trip takes 6 hours, as the plane flies into the wind. Find the speed of the plane in still air, and find the wind speed to the nearest tenth mile per hour.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314878 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=314878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basic distance equation is<BR>\n" );
document.write( "d = rt,<BR>\n" );
document.write( "where <BR>\n" );
document.write( "d = distance<BR>\n" );
document.write( "r = rate <BR>\n" );
document.write( "t = time<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Define<BR>\n" );
document.write( "s = speed of the plane<BR>\n" );
document.write( "w = speed of the wind<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Flying with a tailwind<BR>\n" );
document.write( "r = s+w<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Flying with a headwind<BR>\n" );
document.write( "r = s-w<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Flying with the tailwind<BR>\n" );
document.write( "d = 2400<BR>\n" );
document.write( "t = 4.75<BR>\n" );
document.write( "2400 = 4.75*r<BR>\n" );
document.write( "r = 2400/4.75<BR>\n" );
document.write( "r = 505.263158<BR>\n" );
document.write( "r = 505.26<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Flying with the headwind<BR>\n" );
document.write( "d = 2400<BR>\n" );
document.write( "t =6<BR>\n" );
document.write( "2400 = 6*r<BR>\n" );
document.write( "r = 400<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s + w = 505.26<BR>\n" );
document.write( "s - w = 400<BR>\n" );
document.write( "Add<BR>\n" );
document.write( "2s = 905.26<BR>\n" );
document.write( "s = 452.63<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Find w.<BR>\n" );
document.write( "s+w = 505.26<BR>\n" );
document.write( "w = 505.26 - 452.63<BR>\n" );
document.write( "w = 52.63<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check to see if the distances work.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6*(452.63-52.63) = ??<BR>\n" );
document.write( "6*(400) = 2400<BR>\n" );
document.write( "Right<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4.75*(452.63+52.63) = ??<BR>\n" );
document.write( "4.75*(505.26) = 2399.985<BR>\n" );
document.write( "which is close enough to 2400.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: The speed of the plane in still air is 452.6 mph.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );