Answer:
480 mph
Explanation:
To find the speed of each plane, we can set up a system of equations based on the given information.
Let's assume the speed of the first plane is x mph, and the speed of the second plane is (x + 80) mph (since their speeds differ by 80 mph).
When the two planes fly toward each other, their combined speed is the sum of their individual speeds. So the total speed is x + (x + 80) mph.
We know that the two planes are 3520 miles apart and they pass each other in 4 hours. Using the formula distance = speed × time, we can write:
Distance = Speed × Time
For the first plane, the distance it travels is x mph multiplied by 4 hours:
4x miles.
For the second plane, the distance it travels is (x + 80) mph multiplied by 4 hours:
4(x + 80) miles.
Since they are flying towards each other, the sum of their distances should be equal to the total distance of 3520 miles:
4x + 4(x + 80) = 3520
Now we can solve this equation for x:
4x + 4x + 320 = 3520
8x + 320 = 3520
8x = 3200
x = 400
Therefore, the speed of the first plane is 400 mph, and the speed of the second plane is (400 + 80) mph, which is 480 mph.