Answer: To find the number of seconds it takes for the planes to reach the same altitude, we can use the following formula:
time = (difference in altitude) / (rate of plane B - rate of plane A)
In this case, the difference in altitude is the altitude of plane A (2457 feet) and plane B is just taking off so its altitude is 0 feet.
So, substituting these values into the formula:
time = (2457) / (70.75 - 25.25)
time = 2457 / 45.5
time = 53.7 seconds
So it takes 53.7 seconds for the planes to reach the same altitude. To find out what altitude they will be at when they reach the same altitude, we can use the formula:
Altitude = (rate of plane A x time) + altitude of plane A
Substituting the values we have:
Altitude = (25.25 x 53.7) + 2457
Altitude = 1351.6 + 2457
Altitude = 3809.6 ft
So, both planes will be at 3809.6 ft. when they reach the same altitude.
Explanation: