Answer:
The wind speed of the plane in still air is 50m/h
Explanation:
Let p = plane speed in the air
Let w = wind speed.
since [tex]d = rt[/tex], we can;
[tex]625= 2.5(p+w) .............................. eqn1\\\\625 = 4 \frac{1}{6}(p-w)........................... eqn2[/tex]
(Eqn1) can be simplified further into [tex]250= p+w[/tex]
In (Eqn2), multiply both sides with the reciprocal of [tex]4\frac{1}{6}[/tex] which gives us [tex]\frac{6}{25}[/tex]
So we have;
p - w = 150
p + w = 250
2p = 400
p = 200
Put p (200) into p - w = 150;
200 - w = 150
w = 50
Therefore,
The speed of the plane in still air is 200m/h,
The wind speed is 50m/h.
