document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421537>Question 421537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hindered by a strong wind, a jet flew 15% slower than usual and made a 4000 mile trip in 30 minutes longer than usual. What is the usual speed of the jet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294374 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=294374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hindered by a strong wind, a jet flew 15% slower than usual and made a 4000 mile trip in 30 minutes longer than usual. What is the usual speed of the jet?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "With wind DATA:<BR>\n" );
document.write( "distance = 4000 miles ; time = x hrs ; rate = d/t = 4000/x mph<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Against wind DATA:<BR>\n" );
document.write( "distance = 4000 miles ; time = x+(1/2) hrs ; rate = d/t = 4000/[(2x+1)/2] mph<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "against rate = 0.85(with rate)<BR>\n" );
document.write( "8000/(2x+1) = 0.85(4000/x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "800000/(2x+1) = 85(4000/x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "800000x = 85*4000(2x+1)<BR>\n" );
document.write( "800000x = 680000x + 340000<BR>\n" );
document.write( "120000x = 340000<BR>\n" );
document.write( "x = 2.833333 hr (with wind time)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "With rate = 4000/2.833333 = 1411.76 mph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Against rate = 8000/(2*2.83333+1) = 1200 mph<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "Plane + wind = 1411.76<BR>\n" );
document.write( "Plane - wind = 1200<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2*plane = 2611.76<BR>\n" );
document.write( "plane speed = 1305.88 mph<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );