A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate

Question

2 years ago

11

of the jet in still air and what is the rate of the wind

1 answer:

Kryger [21] · Answer 1 · 2022-08-29T02:01:46+03:00

9514 1404 393

Answer:

Step-by-step explanation:

The speed against the wind is ...

4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

(585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

715 -650 = 65 mi/h . . . speed of the wind

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<em>Additional comment</em>

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

p + a = with

p - a = against

If we average these, we get ...

((p +a) +(p -a))/2 = (with + against)/2

p = (with + against)/2 . . . . . . . the formula we used above