I did it more quickly by finding the mean average speed, 960/3 + 960/4 and dividing by 2 = (320+240 =560) / 2 = 280. you can then see that 320 is 40 more than 280 and that 240 is 40 less. therefore 280 MPH groundspeed and 40 mph wind. This is how I would, as a pilot, do these calculations.

Another example of making things more difficult than needed. The plane is going 280 mph and the wind is 40 mph Per hour rate with wind - 320 mph Per hour rate against the wind - 240 mph Difference - 80 then divide by 2 and that is the wind speed which is 40 mph Then either subtract that from the speed when flying with the wind or add that to the speed when flying against the wind.

First step: Make your answer(s) into your variable(s). This problem is asking for two things: wind speed and air speed. Hence, let x = the speed of the plane (in zero wind conditions), and let y = the speed of the wind. Second step: Construct your equations. x + y = 960 miles in 3 hours = 320 mph. x - y = 960 miles in 4 hours = 240 mph Add the two equations together, and you get 2x = 560 mph, so x = 280 mph. Plug that into the first equation, and you get 280 mph + y = 320 mph. So y = 40 mph. Double checking: x + y = 280 + 40 = 320 miles per hour. In three hours the plane can fly 960 miles. Second equation: x - y = 280 - 40 = 240 miles per hour. In four hours, the plane can fly 960 miles. Answer: The air speed (=speed of plane with no wind) is 280 mph, and the wind speed is 40 mph.

Depends on the coefficient of drag because the speed of a headwind does not remove exactly the same amount of speed from the airplane. Air is not a treadmill.

@ 13:31 should be ground speed = air speed +/-wind speed, which is consistent with your table @15:12.

@robertakerman3570

2 жыл бұрын

The "math" doesn't lie, but since I'm not a pilot; it just seems that the Tail wind would have to exceed the plane's speed in order to push it. 280+40mph = 320mph. Now that's a TAILWIND!

This video seem to extremely overcomplicate the problem. You can see from the brief reading of the question that with the wind it took 3 hours and without the wind it took four. Divide 960 / 3 and divide 960 / 4. This gives you 320 and 240. We know that the faster speed is with the wind. We know the difference between the speeds is 80. That means one of them is plus 40 and the other is minus 40. So add 40 to the smaller one take it away from the bigger one and you get the speed the plane was attempting to fly at and the wind speed was 40 mph against it and with it. I did this in my head as fast as I could read the entire paragraph. Why would you waste time forming algebraic equations when simple logic makes this an easy question?

@mycroftholmes7379

Жыл бұрын

and where the devil did you get 40?? out of nothing?

@ATrainGames

Жыл бұрын

@@mycroftholmes7379 80 is the difference between 240 and 320. So the assumption is the aircraft is traveling at 280mph (split the difference [40] and add to the lower amount).

@lylobean

7 ай бұрын

Yep, takes like 20s looking at the thumbnail, 20mins is making a mess of it .

Let x be the air speed and y be the tailwind speed. 3(x+y) = 960 // time is 3, and the rate is both the airspeed and the tailwind speed combined. Rate times time is distance. 4(x-y) = 960 // Similarly, xthe time is 4, the rate is the airspeed minus the tailwind speed. 3x+3y = 960 // Distributive property of equality. 4x-4y = 960 // Distributive property of equality. -12x-12y = -3840 12x-12y = 2880 -24y = -960 -24y/-24 = -960/-24 y = 40 Since y represents the tailwind, we can plug 40 into the original equation to solve for x which is the speed of the airplane. 3(x+40) = 960 // Original equation 3x+120 = 960 3x+120-120 = 960-120 // Additive property of equality. 3x = 840 // Simplified 3x/3 = 840/3 // Multiplicative property of equality. x = 280

Distance 960 miles With the wind .... 3 hours .... 960/3 .... 320mph Against the wind .... 4 hours .... 960/4 .... 240mph Difference between the speeds is 320 - 240 = 80 So the wind speed is 80/2 = 40mph and the plane speed if there was no wind would be 320 + 240 = 560 and 560/2 = 280mph

Before watching, I’m going to guess this video confuses airspeed with ground speed.

love reading the comments 😂the ground speed / the spinning earth + latitude the earth tilt air speed.,, just do the calculation that's given . try this for size 960x60/180=320.....960x60/240 =240 the difference of 320 - 240 = 80/ 2= 40 wind speed

Don't forget! You have to add to that the speed of the spinning earth according to the latitude, as the air of the atmosphere is travelling along with that spin!

@lamper2

2 жыл бұрын

Is your name Feynman by any chance?

Hi there, can you please help me figure out what x, y, and z should be? Is it possible? x = (5 + y + z) / 7 y = (3 + x + z) / 9 z = (0 + x + y) / 19

@matthewstoicism1485

2 жыл бұрын

is the ''/7'' inside the parentheses? if the answer is ''yes'' then this will be a mess of substitution. if the answer is ''no'' then just put it in a matrix. this post is 2 months old . . . let me know if you still want this to be answered?

Plane: 280mph, wind: 40mph

320 M,/h and 240M/h

What if the air speed on the way back is way more or even less. is there a way to solve that situation?

His presentation is how to turn students off about algebra

Not a joke. but I would have answered. THE air speed and wind speed is the same. since this is a comprehension problem and not a math problem. Not everyone thinks the same way. thats why teacher's cant teach.

@PreservationEnthusiast

2 жыл бұрын

If they had said "the speed of the plane through the air in the event that the wind speed is zero", would you have been happier with the question?

@ArabellaPottery

2 жыл бұрын

@@PreservationEnthusiast No. I would be happier if they would stop trying to teach english. And just teach of math.

@PreservationEnthusiast

2 жыл бұрын

@@ArabellaPottery They are not trying to teach English. But many real world problems are going to come via words and phrases. That's what a client or layman would use to describe problems to an engineer or mathematician. So they are trying to teach how to convert everyday problems into equations and then solve them. One thing is for sure, the English teachers are not going to teach this. Most English teachers would not know how to solve systems of equations or do complex algebra in their wildest dreams. They long since forgot that, even if they ever could do it in the first place. So it is left to maths and science teachers to bridge this important gap.

@ArabellaPottery

2 жыл бұрын

@@PreservationEnthusiast And that's why so many fail. They use curves to pass students who did not get it. And obviously the math teachers are doing it wrong.

Do you get paid by the word, you take more time to explain how to solve problems than you take to solve the problem.

This is all horseshit, my smartphone had it figured in a split second. This einstein is WASTING his life's efforts.

@pinkrose1438

2 жыл бұрын

Put your smartphone down and use your brain to think. In exam you will not allow to use your phone. Unless you'll settle for an "F"😊

@twintwo1429

2 жыл бұрын

@@pinkrose1438 I passed my exams 35 years ago, without any devices, just knowledge.