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Question

a plane flies 420 miles with the wind and 320 miles against the wind at the same height . if the speed of the wind is 23 miles per hours, what is the speed of the plane in still air?

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Solution

Answer :

Given :A plane flies 420 miles with the wind and 320 miles against the wind at the same height .

Here is no information regarding time taken we assume time taken by plane to cover these distance is same .

And

Speed of wind = 23 mile /hour

Let speed of plane in still air = x , So

Speed of plane with the wind = x + 23 mile / hour

And

Speed of plane against the wind = x - 23 mile / hour

we know

Time = DistanceSpeed , So
420x + 23 = 320x - 23420x - 23 = 320x + 23420x - 420×23 = 320x +320× 23420x - 320x= 320× 23 + 420×23100x= 23320 + 420 100x= 23 × 740 100x=17020x=17020100x=170.20
So,
Speed of plane in still air = 170.20 Mile / hour ( Ans )

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