Question

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

Answer 1

Speed of plane in still air = 825 km/h

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 =
`x` km/h

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

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

So, we have:

`x+145=970`

Solving for
`x`.

Subtracting both sides by 145.

`x+145-145=970-145`

∴
`x=825` km/h (Answer)

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