To find out how long it will take for the two airplanes to be 2000 miles apart, we need to calculate the time it takes for them to cover a total distance of 2000 miles.
Let's break down the problem.
First, let's determine the combined speed at which the two airplanes are moving apart. Since they are traveling in opposite directions, their speeds will add up.
Combined speed = Speed of the first airplane + Speed of the second airplane
Combined speed = 480 mph + 520 mph
Combined speed = 1000 mph
Now, we can determine the time it takes for them to cover a distance of 2000 miles using the formula:
Time = Distance / Speed
Time = 2000 miles / 1000 mph
Time = 2 hours
Therefore, it will take 2 hours for the two airplanes to be 2000 miles apart.