Plane A leaves the airport. One hour later, Plane B leaves the same airport on the same course. It catches up to Plane A in 2.5 hours. The average speed of Plane B is 300km/h faster than Plane A. Find the speed of each plane.

Recall that speed is distance traveled over time:

v = d/t
Represent the speeds with variables:
Let x = speed of Plane A
Since it was said the speed of Plane B is 300 km/h faster than Plane A,
Let x + 300 = speed of Plane B

When they catch up, that means that their distance traveled is the same, so we will equate their distance traveled.
v = d/t
d = v*t

Plane A:
d = x * (2.5 + 1)
Note that the total time traveled by Plane A is 2.5 + 1 because it is one hour ahead of Plane B, and Plane B caught up with it after 2.5 hours.

Plane B:
d = (x + 300) * 2.5

Equating,
x * (2.5 + 1) = (x + 300) * 2.5
3.5x = 2.5x + 750
3.5 x - 2.5x = 750
x = 750 km/h (Plane A speed)
x+300 = 1050 km/h (Plane B speed)

hope this helps~ `u`

Thanks so much! This helped a lot

Let's assume the speed of Plane A is x km/h.

Since Plane B catches up to Plane A in 2.5 hours, we can set up the equation:

2.5 * (x + 300) = 2.5x

Now, let's solve for x:

2.5x + 750 = 2.5x

Subtract 2.5x from both sides:

750 = 2.5x - 2.5x

750 = 0

This is not a valid equation, which means there is no solution.

Therefore, there is an error in the problem statement or the values provided. Please double-check the given information.

To find the speed of each plane, let's assign variables. Let's assume the speed of Plane A is "x" km/h. Since Plane B is 300 km/h faster, its speed will be "x + 300" km/h.

Now, let's use the formula:

Distance = Speed × Time

We know that Plane B catches up to Plane A in 2.5 hours. Therefore, the distance traveled by Plane A is the same as the distance traveled by Plane B in this time.

Distance traveled by Plane A = Distance traveled by Plane B

To find the distance, we can use the formula again:

Distance = Speed × Time

For Plane A, the distance is (x km/h) × (2.5 hours) = 2.5x km.

For Plane B, the distance is (x + 300 km/h) × (2.5 hours) = 2.5(x + 300) km.

Since the distances are equal, we can set up an equation as follows:

2.5x = 2.5(x + 300)

Now, let's solve for x:

2.5x = 2.5x + 750

Subtracting 2.5x from both sides:

0 = 750

Wait a minute, we have reached a contradiction (0=750), which means there is no solution to this problem. It seems there might be some incorrect information or missing details in the question. Please double-check the given information and try again.