The airplane returns to st louis by the same route. Because the prevailing winds push the airplane along, the return trip takes only 3.75 hours. What is the average speed for this trip answers 21-25

Respuesta :

Answer:

[tex]S = 678.71km/hr[/tex]

Explanation:

The question has missing details. See comment for complete question

Given

[tex]d = 2,742km[/tex] --- distance

[tex]t_1 =4.33hr[/tex] --- time spent to Oregon

[tex]t_2 =3.75[/tex] -- time spent back to St. Louis

Required

Calculate the average speed

First, we calculate the total distance of the trip.

Because it is a "to and fro" trip and the airplane passes the same route, the total distance D is:

[tex]D = 2*d[/tex]

[tex]D = 2*2742km[/tex]

[tex]D = 5484km[/tex]

The total time taken (T) is:

[tex]T = t_1 + t_2[/tex]

[tex]T = 4.33hr + 3.75hr[/tex]

[tex]T = 8.08hr[/tex]

The average speed (S) is then calculated as:

[tex]S = \frac{D}{T}[/tex]

[tex]S = \frac{5484km}{8.08hr}[/tex]

[tex]S = 678.71km/hr[/tex]

The average speed for the trip is approximately 678.71