Respuesta :
Answer:
60 miles per hour.
Step-by-step explanation:
Let r represent speed of wind blowing in miles per hour.
We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be [tex]360+r[/tex].
The speed of the plane is the opposite direction of wind would be [tex]360-r[/tex].
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
Distance covered in the direction of wind would be [tex]2.5(360+r)[/tex].
Distance covered in the opposite direction of wind would be [tex]3.5(360-r)[/tex].
Since both distances are same, so we will get:
[tex]2.5(360+r)=3.5(360-r)[/tex]
[tex]900+2.5r=1260-3.5r[/tex]
[tex]900-900+2.5r+3.5r=1260-900-3.5r+3.5r[/tex]
[tex]6r=360[/tex]
[tex]\frac{6r}{6}=\frac{360}{6}[/tex]
[tex]r=60[/tex]
Therefore, the wind is blowing at a rate of 60 miles per hour.
