
- Соревнования зимней спартакиады проходили в двух городах. Из этих городов одновременно навстречу
друг другу выехали два поезда. Скорость одного поезда 60 км/ч, а другого 75 км/ч. Поезда встретились через 4 ч. Чему равно расстояние между городами? Реши задачу двумя способами.

Ответы на вопрос

Ответ:
1 способ
1)60×4=240км
2)75×4=300км
3)240+300=540км
2способ
1)60+75=135км/ч
2)135×4=540км
Вот 2 способа
Пошаговое объяснение:
Пожалуйста



Problem Statement
The Winter Spartakiad competition took place in two cities. Two trains departed from these cities simultaneously towards each other. The speed of one train was 60 km/h, while the speed of the other train was 75 km/h. The trains met after 4 hours. What is the distance between the cities? Solve the problem using two different methods.Method 1: Using Relative Speed
To find the distance between the cities, we can use the formula: distance = speed × time. Since the trains are moving towards each other, their relative speed is the sum of their individual speeds.Let's calculate the distance using this method:
- Speed of the first train = 60 km/h - Speed of the second train = 75 km/h - Time taken for the trains to meet = 4 hours
The relative speed of the trains is 60 km/h + 75 km/h = 135 km/h.
Using the formula distance = speed × time, we can calculate the distance between the cities:
distance = relative speed × time = 135 km/h × 4 hours = 540 km.
Therefore, the distance between the cities is 540 km.
Method 2: Using Time and Distance Relationship
Another way to solve this problem is by using the relationship between time, distance, and speed. The total distance traveled by both trains is equal to the sum of the distances covered by each train.Let's calculate the distance using this method:
- Speed of the first train = 60 km/h - Speed of the second train = 75 km/h - Time taken for the trains to meet = 4 hours
Let's assume the distance between the cities is d km.
The first train covers a distance of 60 km/h × 4 hours = 240 km. The second train covers a distance of 75 km/h × 4 hours = 300 km.
The sum of the distances covered by both trains is 240 km + 300 km = 540 km.
Therefore, the distance between the cities is 540 km.
Conclusion
The distance between the cities is 540 km. This can be calculated using two different methods: using the relative speed of the trains or by considering the distances covered by each train. Both methods yield the same result.

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