SOLUTION: 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

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Question 844432: 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?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
Distance = rate x time.


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.


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.


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.)


Find the time it takes by using the D=rt formula. t = D/r = 360/720 = 1/2 hour.


In 1/2 hour the the jet, traveling at 900km/hr travels D=rt = 900 * 1/2 = 450 km.


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.


However, if Coach Ditka were flying the private plane, the jet would never overtake it. That's how good Coach Ditka is.

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