Answer:
G. It will take twice as long.
Explanation:
Let's call [tex]v[/tex] the original speed of the plane and [tex]d[/tex] the distance between Dallas and Pensacola. The time the plane originally takes to complete the flight is
[tex]t=\frac{d}{v}[/tex]
In this problem, we are told that the plane encounters wind moving at half of its speed: [tex]\frac{v}{2}[/tex], in the opposite direction. This means that the new speed of the plane is
[tex]v'=v-\frac{v}{2}=\frac{v}{2}[/tex]
And so, the time the plane takes now to complete the flight is
[tex]t'=\frac{d}{v/2}=2\frac{d}{v}=2t[/tex]
So, the plane takes twice the time as before.
