Question

Решил задачу. Два поезда идут навстречу друг к другу со станций расстояние между которыми 385км первый поезд вышел на 2ч раньше со скоростью 53км|ч поезда встретились через 3ч после выхода второго поезда найди скорость 2 поезда

Answer 1

Problem Analysis

To solve this problem, we need to find the speed of the second train. We are given the following information: - The distance between the two stations is 385 km. - The first train started 2 hours earlier than the second train. - The trains met each other 3 hours after the second train started.

Let's break down the problem and find a solution step by step.

Step 1: Calculate the time it took for the first train to meet the second train

We know that the trains met each other 3 hours after the second train started. Since the first train started 2 hours earlier, it means the first train was running for a total of 3 + 2 = 5 hours when they met.

Step 2: Calculate the speed of the first train

We are given that the first train's speed is 53 km/h. We can use the formula: speed = distance / time to calculate the speed of the first train.

The distance traveled by the first train is the same as the distance between the two stations, which is 385 km. The time taken by the first train to cover this distance is 5 hours (as calculated in Step 1).

Using the formula, we can calculate the speed of the first train: speed of the first train = distance / time = 385 km / 5 hours = 77 km/h.

Step 3: Calculate the speed of the second train

Let's assume the speed of the second train is 'x' km/h.

We know that the second train traveled for 3 hours before meeting the first train. So, the distance traveled by the second train is the speed of the second train multiplied by the time taken: distance = speed * time = x km/h * 3 hours = 3x km.

Since the total distance between the two stations is 385 km, we can write the equation: distance traveled by the first train + distance traveled by the second train = total distance 385 km + 3x km = 385 km.

Simplifying the equation: 3x km = 0 km.

This equation tells us that the distance traveled by the second train is 0 km, which means the second train did not move. This implies that the first train met the second train at the station where the second train started.

Therefore, the speed of the second train is 0 km/h.

Conclusion

The speed of the second train is 0 km/h. This means that the second train did not move and the first train met the second train at the station where the second train started.

Please let me know if you need any further clarification or assistance!