document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844432>Question 844432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A private airplane leaves Midway Airport  and flies due east at a speed of 180 km/h. Two hours later a jet leaves midway and flies due east at a speed of 900 km/h. How far from the airport will the jet overtake the private plane? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508761 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=508761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = rate x time.<P><BR>\n" );
document.write( "The jet closes the distance between the two planes at the speed that is the difference between their speeds (rates).  That's 900 - 180 = 720 km/hr.<P><BR>\n" );
document.write( "The jet has to make up the distance the private plane flew in the two hours before the jet began its trip.  That's 180 * 2 = 360 km.<P><BR>\n" );
document.write( "Now we know the distance the jet has to make up (360km) and the speed (rate) at which it makes up the distance (720 km/hr.)<P><BR>\n" );
document.write( "Find the time it takes by using the D=rt formula.  t = D/r = 360/720 = 1/2 hour.<P><BR>\n" );
document.write( "In 1/2 hour the the jet, traveling at 900km/hr travels D=rt = 900 * 1/2 = 450 km.<P><BR>\n" );
document.write( "To check, let's look at the private plane.  It already traveled 360km.  In another 1/2 hour it travels D = 180 * 1/2 = 90km.  It travels a total distance of 360 + 90 = 450 km.  That verifies that the jet overtakes the private plane 450km from Midway Airport.<P><BR>\n" );
document.write( "However, if Coach Ditka were flying the private plane, the jet would never overtake it.  That's how good Coach Ditka is. </SPAN>\n" );
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