Answer:
The speed of the plane in still air is 590Mph
The speed of the wind is 60Mph
Step-by-step explanation:
Let
s= the speed of the plane in still air
w= the speed of the wind
Flying with the wind:
5525=(s+w)*8.5
5525=8.5s + 8.5w (1)
Flying against the wind:
4505=(s-w)*8.5
4505=8.5s - 8.5w (2)
Add (1) and (2) to eliminate w
5525=8.5s + 8.5w
4505=8.5s - 8.5w
10,030=17s
Divide both sides by 17
10,030/17=17s/17
590=s
s=590Mph
Substitute the value of s into (1)
5525=8.5s + 8.5w
5525=8.5(590) + 8.5w
5525=5,015 + 8.5w
5525-5015=8.5w
510=8.5w
Divide both sides by 8.5
60=w
w=60Mph
The speed of the plane in still air is 590Mph
The speed of the wind is 60Mph
