As the plane heads toward Halifax, the wind speed supports the flight path
resulting in an overall improved speed
Conversely, during the return trip, the wind will resist the plane's motion, decreasing the net speed
The total journey lasts 13 hours
of which 2 hours was dedicated to the mathematics discussion
Consequently, the total flight time is 13 - 2 = 11 hours
Now we apply the formula to calculate the time for traveling to Halifax

Time needed to return

Let’s look at the total time


Here d = 3000 miles



By solving the derived quadratic equation

the plane's speed calculates to 550 mph