Question

реши задачу по действиям.первый поезд за 6 часов проехал 480 км а второй за это время на 60 км больше.с какой скоростью двигался 1 поезд. с какой скоростью двигался 2 поезд

Answer 1

Problem Analysis

We are given two trains. The first train travels a distance of 480 km in 6 hours, while the second train travels 60 km more than the first train in the same time. We need to find the speeds of both trains.

Solution

Let's assume the speed of the first train is x km/h. Since the distance traveled by the first train is 480 km, we can use the formula speed = distance / time to find the time taken by the first train.

The time taken by the first train is given by: time = distance / speed = 480 km / x km/h = 480 / x hours.

The second train travels 60 km more than the first train in the same time. Therefore, the distance traveled by the second train is 480 + 60 = 540 km.

Using the same formula, we can find the speed of the second train: speed = distance / time = 540 km / (480 / x) hours.

Now, we can solve these equations to find the speeds of both trains.

Calculation

Let's substitute the values and solve the equations:

For the first train: time = 480 / x hours For the second train: speed = 540 / (480 / x) km/h

Solution

To find the speed of the first train, we substitute the value of time from equation into equation:

speed = 540 / (480 / x) km/h = 540x / 480 km/h = 9x / 8 km/h.

Therefore, the speed of the first train is 9x / 8 km/h.

To find the speed of the second train, we substitute the value of time from equation into equation:

speed = 540 / (480 / x) km/h = 540x / 480 km/h = 9x / 8 km/h.

Therefore, the speed of the second train is also 9x / 8 km/h.

Answer

The speed of the first train is 9x / 8 km/h and the speed of the second train is also 9x / 8 km/h.

Please note that the value of 'x' is not provided in the question, so we cannot determine the exact speeds of the trains without that information.