Question

Со станции вышел поезд 60 км/ч. Через некоторое время с той же станции и в том же направлении вышел второй поезд. С какой скоросьтю он должен ехать, чтобы расстояние между ними с момента выезда второго поезда не менялось?

Answer 1

60 км/ч, расстояние между поездами не изменится

Answer 2

чтобы расстояние между ними с момента выезда второго поезда не менялось, скорость у них должна быть одинаковая,  т.е. скорость первого поезда 60 км/час  = скорость второго поезда 60 км/час

Answer 3

Problem Analysis

We have two trains that start from the same station and travel in the same direction. The first train has a speed of 60 km/h. We need to determine the speed at which the second train should travel so that the distance between them does not change over time.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving in the same direction is the difference between their individual speeds.

Let's assume the speed of the second train is x km/h. The relative speed between the two trains will be the difference between the speeds of the second train and the first train, which is x - 60 km/h.

Since we want the distance between the two trains to remain constant, the relative speed should be zero. Therefore, we can set up the equation:

x - 60 = 0

Solving this equation will give us the speed at which the second train should travel.

Calculation

To find the speed of the second train, we solve the equation:

x - 60 = 0

Adding 60 to both sides of the equation, we get:

x = 60

Therefore, the second train should travel at a speed of 60 km/h in order to maintain a constant distance from the first train.

Answer

The second train should travel at a speed of 60 km/h in order to maintain a constant distance from the first train.