document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828368>Question 828368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jet leaves an airport traveling at a steady rate of 600 km/h. Another jet leaves the same airport 3/4 h later traveling at 800 km/h in the same direction. How ling will it take the second jet to overtake the first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499248 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "d = s*t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "jet-1's head start:<BR>\n" );
document.write( "d = 600 * 0.75<BR>\n" );
document.write( "d = 450 km <BR>\n" );
document.write( "---<BR>\n" );
document.write( "jet-2 speed relative to jet-1:<BR>\n" );
document.write( "s = 800 - 600<BR>\n" );
document.write( "s = = 200 kph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time to overtake relative to jet-2:<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "t = 450/200<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer-1:<BR>\n" );
document.write( "t = 2.25 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by a different method:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "D = distance from airport at which the overtake occurs:<BR>\n" );
document.write( "t = time the overtake occurs, relative to jet-2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "overtake distance relative to jet-1:<BR>\n" );
document.write( "D = 600(t + 0.75)<BR>\n" );
document.write( "D = 600t + 600*0.75<BR>\n" );
document.write( "D = 600t + 450<BR>\n" );
document.write( "---<BR>\n" );
document.write( "overtake distance relative to jet-2:<BR>\n" );
document.write( "D = 800t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time to overtake relative to jet-2:<BR>\n" );
document.write( "D = D<BR>\n" );
document.write( "substitute the above expressions for D:<BR>\n" );
document.write( "600t + 450 = 800t<BR>\n" );
document.write( "200t = 450<BR>\n" );
document.write( "t = 450/200<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer-2:<BR>\n" );
document.write( "t = 2.25 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "the overtake will occur 2 hours and 15 minutes after the second jet departs.<BR>\n" );
document.write( "this result is confirmed using two different methods.<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );