An aircraft traveling 100nm at 100kts completes the trip in 1 hour. Now if we add or subtract 20kts

An aircraft traveling 100nm at 100kts tickets soccer world cup completes the trip in 1 hour. Now if we add or subtract 20kts to the airspeed why does the time not change the same. For example, at 80kts it would take the aircraft 75min to fly 100nm. Whereas an aircraft traveling at 120kts completes the same 100nm in 50min. My questions is why does the time not remain the same for the 20kt increase tickets soccer world cup or decrease in GS.
I was asked this question by a chief pilot and he said the 20kt difference was due to an headwind or tailwind off of the 100kts. tickets soccer world cup His answer was it takes a greater amount of time 15min vs 10min because the aircraft is affected tickets soccer world cup for a longer period of time flying at a slower airspeed.
This does not jive with me. Taking the wind out of the equation you still get the same time 10min for a tailwind and 15 min for a headwind. So in a no wind situation you get the same answers. Therefore, it bust his theory of wind acting on the plane.
I came to the conclusion the differece is based off the fact that 80kts is 80% of 100kts, where 120kts tickets soccer world cup would be a 83.333333333% difference and that s why the time changes becauuse there is a differnce in the ratio of GS.
Speed equals distance divided by time. Using elementary algebra, time equals distance divided by speed. So the time to go a fixed distance at a speed that is 80% is proportional to the the speed ratio of 100/80 (or 5/4) of the base time. In the same way, at 120% of the speed, the time is proportional to the speed ratio of 100/120 (or 5/6) of the base time. The increase in time for the slower speed is always greater than the reduction in time for the faster speed when using a constant difference in speed. It is for this reason, if you fly a round trip and the winds remain constant, you lose more time with the headwind than you make back with the tailwind.
A common mathematical error is to attempt to average speeds over a fixed distance. Here is a trick question. You are driving on a two mile course and drive the first mile averaging 30 MPH. How fast must you drive on the second mile in order to average 60 MPH over the entire two mile course. Answer, it isn t 90 MPH, in fact, it is impossible. To average 60 MPH over a two mile course, the entire course must be driven in exactly 2 minutes. But, it takes 2 minutes to drive the first mile if you are only driving it at 30 MPH. All of your time is used up when you get to the end of the first mile.
One logical error I saw in the original question, which John touched upon, was where you take the wind out of the picture. The problem with that approach is that it changes the question completely. If the question starts as how does wind affect the ground speed and the travel time and you take away the wind and your question becomes tickets soccer world cup just how does ground speed relate to travel time? In a no-wind condition, all you re proving is that the 0 wind has 0 effect.
He said because wind effects the aircraft tickets soccer world cup longer while flying shorter. I think it has to do with the ratio in speed percentage difference. However, please disregard our answers and let me know how you would have answered it.
The difference is in the percentages (the ratios after all ratios and percentages are one and the same). On the slower flight the percent difference is 25 percent of 60 minutes or a 15 min difference. On the faster flight, tickets soccer world cup 17 percent of 60 or a 10.2 minute difference.
tickets soccer world cup I liked John s example of taking it to it s logical extreme a wind speed that equals your air speed. If you re flying at 100mph in a 100mph tail wind, your ground speed is 200mph so you get where you re going twice as fast. OTOH, if you re flying into a 100mph head wind, your ground speed is 0, so you don t go anywhere. tickets soccer world cup If the head wind is even stronger, you go backwards i.e. you have a negative velocity.
So, you can t calculate the time to cover a distance over the ground tickets soccer world cup without working out the ground speed, tickets soccer world cup first (and the ground tickets soccer world cup speed could be negative, in extreme cases). Since most places an airplane starts from or heads towards are on the ground, this accommodation is a natural part of flight planning. When your medium of travel is moving relative to your destination, you need take that into account, which is what all the wind-correction angle and ground speed calculations do. An airspeed of 100 mph matters to the plane and the air. A ground speed of 80 or 120 matters tickets soccer world cup to the pilot who wants to go from one place on the earth to another.
Walking or in a car, you re attached to the ground you re covering so the car and the destinations use the same frame of reference (i.e. the earth). In a plane (and a boat), the frames of reference used by the vehicle are not firmly attached to those of your destination (except, perhaps, if your destination is an in-flight refueling tanker).
Another example of the same effect, one which might be more tangible, is that of a kayak or rowboat in a river current. Going upstream, you can paddle tickets soccer world cup all day long (if you re in good shape) and get nowhere, even though you re going through the water quickly. Your water speed is 2-3 knots, but your speed relative to the river bank (the non-moving ground) is 0, or less. Turning around to go with the current, your speed though the water is the same (perhaps less now that you re tired from paddling against the current), tickets soccer world cup but your speed relative to the river bank is now much faster.
Now, why does decreasing a speed have a larger influence on the travel time than a similar increase? tickets soccer world cup It s because the speed is part of a ratio that is used to determine travel tickets soccer world cup time. Travel time is the distance divided by the speed. Because speed is on the bottom (the denominator), decreasing it has a greater influence on the ratio than increasing it does. Consider the difference between 1/4 and 1/2 (reducing the denominator by 2) and 1/4 and 1/6 (increasing tickets soccer world cup it by 2).