Question

an airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10 minutes to make the return trip against the same wind. Find the wind speed of the plane in still air

Answer 1

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 $d = rt$, we can;

$625= 2.5(p+w) .............................. eqn1\\\\625 = 4 \frac{1}{6}(p-w)........................... eqn2$

(Eqn1) can be simplified further into $250= p+w$

In (Eqn2), multiply both sides with the reciprocal of $4\frac{1}{6}$ which gives us $\frac{6}{25}$

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.