Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilom

Question

2 years ago

14

eters in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?

1 answer:

nordsb [41] · Answer 1 · 2023-10-13T20:26:44+03:00

The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.

<h3>What is speed?</h3>

Speed has the dimensions of distance divided by time.

Let Speed of airplane be x km/h and Speed of Wind be y km/h

Speed direction of wind (x+y)

Speed in opposition of wind (x-y)

Now, using speed x time= distance

7( x-y)=4620

(x-y)=4620/7

=660------------------(1)

Similarly,

8(x+y)=8640

(x+y) =8640/8=1080-----------------------(2)

Adding (1) and (2)

2x=1740

x=870 km/h

Subtracting (1) from (2)

2y=420

=>y=210 km/h

So rate of airplane =870km/h

rate of wind=210km/h

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