Respuesta :
The arrival and departure of the airplanes are arranged according to a
schedule that is sequential.
The number of planes it passes going in the opposite direction is 13 planes
Reasons:
The given parameters are;
The frequency of airplane departure = Every 30 minutes
Time it takes to fly from LA to NY = 3 hours 5 minutes
Required;
The number of planes it passes going in opposite direction.
Solution:
As the airplane takes off from NY, we have that the airplane that took off 3
hours earlier from LA is 5 minutes away from the NY.
The airplane are moving in opposite directions, therefore, the relative
speed of the airplane is twice the speed of each airplane.
The time after takeoff at which the airplane from NY pass the first airplane
from LA is 5 minutes ÷ 2 = 2.5 minutes.
The time after which the airplane passes subsequent airplane is two times
faster or half the normal time which is 30 minutes ÷ 2 = 15 minutes, which
gives;
3 hours 5 minutes = 185 minutes
We have an arithmetic progression with first term, a = 2.5, common
difference = 15, and nth term, aₙ = 185, which gives;
- 185 = 2.5 + (n - 1)·15
- [tex]n = \dfrac{185 - 2.5}{15} + 1 = \dfrac{79}{6} = 13\frac{1}{6}[/tex]
Given that the number of planes that the airplane passes are whole
number (discrete) values, we have;
The number of planes it passes going in the opposite direction, n = 13 planes
Learn more here:
https://brainly.com/question/13989292
We want to see how many planes does a plane that flies from NY to LA sees during the travel.
The answer is 6 planes.
We know that every 30 minutes, an airplane departs from LA to NY.
The travel does take 3 hours and 5 minutes (or 185 minutes in total).
At the same time that an airplane departs from LA to NY, one departs from NY to LA, we want to see how many airplanes it will see.
The number of planes that it will see is given by the number of times that 30 minutes (the interval between planes going from LA to NY) enters in 185 minutes (the total time of the flight).
This gives:
185/30 = 6.2
But we can't have a 0.2 of a plane, so we round the result to the nearest whole number, 6.
This means that on the flight from NY to LA, you can expect to see 6 planes going from LA to NY.
If you want to learn more, you can read:
https://brainly.com/question/18270415
