330 km/hr
Step-by-step explanation:
To find speed of the plane against the headwind;
600 km / 2 hours = 300 km/hr
Speed of plane with the wind in its back;
600 km / 5/3 hours = 600 * 3/5 = 360 km/hr
We can create a simultaneous equation from this data.
Assume the speed on pane in still air is x km/h
Assume the speed of wind is y km/h
Therefore;
x – y = 300
x + y = 360
Solving the simultaneous equation by elimination gives us;
x – y = 300
-
x + y = 360
=
-2y = - 60
y = 30
x = 330
The speed of the plane without wind is;
= 330 km/hr
The wind speed is;
= 30 km/hr
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