Question 844432
Distance = rate x time.<P>
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>
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>
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>
Find the time it takes by using the D=rt formula.  t = D/r = 360/720 = 1/2 hour.<P>
In 1/2 hour the the jet, traveling at 900km/hr travels D=rt = 900 * 1/2 = 450 km.<P>
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>
However, if Coach Ditka were flying the private plane, the jet would never overtake it.  That's how good Coach Ditka is.