Question

An airplane traveling with the wind flies 450 miles in 2 hours on the return trip the plan takes 3 hours to travel the same distance find the speed of the airplane if the wind is still

Answer 1

To find the speed of the airplane in still air, we can use the concept of relative velocity.

Step-by-step explanation:

To find the speed of the airplane in still air, we can use the concept of relative velocity. Let's assume the speed of the airplane is x mph and the speed of the wind is y mph.

When the airplane is flying with the wind, its effective speed is the sum of the speed of the airplane and the speed of the wind, which is x + y mph. We know that the distance traveled is 450 miles and the time taken is 2 hours. So, we can use the formula: speed = distance / time to calculate the speed.

When flying against the wind, the effective speed of the airplane is the difference between the speed of the airplane and the speed of the wind, which is x - y mph. Using the same formula, we can calculate the speed using the distance of 450 miles and the time of 3 hours.