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