Richard needs to fly from San Diego to Halifax, Nova Scotia and back in order to give an important talk about mathematics. On the way to Halifax, he will get a speed boost from the wind which blows at 50 miles per hour (mph). On the way back, the plane must, unfortunately, fight this wind speed. If the talk lasts 5 hours, and if the distance between the two cities is \(2000\) miles, how fast must the plane fly in mph if the entire trip is to take \(12\) hours?
