A plane flew 145km/h faster when it was flying with the wind than it would have flown with still air, if it’s speed with the wind was 970km/h, find the speed of the plane in still air

Respuesta :

Answer:

Speed of plane in still air = 825 km/h

Step-by-step explanation:

Given:

Speed of plane with the wind is 145 km/h faster than what it would have with still air.

Speed of plane with wind = 970 km/h

To find speed of plane in still air.

Solution:

Let speed of plane in still air be = [tex]x[/tex] km/h

Thus speed of plane with wind would be given as = [tex](x+145)[/tex] km/h

Speed of plane with wind is given =970 km/h

So, we have:

[tex]x+145=970[/tex]

Solving for [tex]x[/tex].

Subtracting both sides by 145.

[tex]x+145-145=970-145[/tex]

∴ [tex]x=825[/tex] km/h (Answer)

Thus, speed of plane in still air = 825 km/h

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