Q: A plane leaves an airport and flies due east at 192 miles per hour Two hours later a jet leaves the same airport and flies due east at 960 mph How far will the private plane fly?

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A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the private plane fly before it is passed by the jet?

2.5 hours

The jet will overtake the airplane in 0.5 hours.

If the question is asking, "How far will the private plane fly before the jet overtakes it ?" Both planes will have flown the same distance. Distance = Time (T) x Velocity. Therefore 192 x T = 960(T - 2) = 960T - 1920 768T = 1920 : T = 2.5 In 2.5 hours the private plane flies 192 x 2.5 = 480 miles. (The jet plane in 0.5 hours flies 960 x 1/2 = 480 miles)

When the jet takes off, the prop-job has been flying for 2 hours, so he has a lead of (192 x 2) = 384 miles.The jet closes the lead at the rate of (960 - 192) = 768 miles per hour.It takes the jet (384/768) = 1/2 hour to close the gap and overtake the slower plane.The jet passes the slow crate 2-1/2 hours after the Jenny took off, and 1/2 hour after the jet took off.When the jet passes it, the private plane is totally rent asunder by the shock wave. It falls apartand flutters to the ground in a million pieces, because 960 miles per hour is well in excess of thespeed of sound at any altitude where the prop job could conceivably remain airborne, and thepassing of the jet just totally blasts it to smithereens.Fortunately, the private pilot had anticipated this, and he bailed out a minute before the jetovertook him ... when it was still 12.8 miles behind him ! When the cataclysm takes placeoverhead, he's safely on the ground and watching it from behind a tree.

Related questions

A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the private plane fly before it is passed by the jet?

2.5 hours

The jet will overtake the airplane in 0.5 hours.

If the question is asking, "How far will the private plane fly before the jet overtakes it ?" Both planes will have flown the same distance. Distance = Time (T) x Velocity. Therefore 192 x T = 960(T - 2) = 960T - 1920 768T = 1920 : T = 2.5 In 2.5 hours the private plane flies 192 x 2.5 = 480 miles. (The jet plane in 0.5 hours flies 960 x 1/2 = 480 miles)

It is a 9 hour flight by any means private or not.

When the jet takes off, the light plane has been in the air for 2 hours, and has covered (2 x 192) = 384 miles. That's the light plane's lead. The lead closes at (960-192) = 768 miles per hour. It takes (384/768) = 1/2 hour to close the gap. During that time, the light plane flies another (192/2) = 96 miles, , for a total of (384 + 96) = 480 miles. Also during that time, the jet flies (960/2) = 480 miles. The math checks. They pass. But neither pilot notices it, because the jet passes the prop-job at the speed of sound.

3 hours because if your smart, you will figure it out

by plane, how many hours to heath-row airport from JFK airport

About seven hours.

Can I leave the airport to travel 8 hours or can I travel 8 hours to get to the airport and still catch the flight?? I don't understand the question.

When the jet takes off, the prop-job has been flying for 2 hours, so he has a lead of (192 x 2) = 384 miles.The jet closes the lead at the rate of (960 - 192) = 768 miles per hour.It takes the jet (384/768) = 1/2 hour to close the gap and overtake the slower plane.The jet passes the slow crate 2-1/2 hours after the Jenny took off, and 1/2 hour after the jet took off.When the jet passes it, the private plane is totally rent asunder by the shock wave. It falls apartand flutters to the ground in a million pieces, because 960 miles per hour is well in excess of thespeed of sound at any altitude where the prop job could conceivably remain airborne, and thepassing of the jet just totally blasts it to smithereens.Fortunately, the private pilot had anticipated this, and he bailed out a minute before the jetovertook him ... when it was still 12.8 miles behind him ! When the cataclysm takes placeoverhead, he's safely on the ground and watching it from behind a tree.

About 2.5 hours.