Question

Населённые пункты Начальный и Конечный находятся на расстоянии 1100 км друг от друга. Один поезд выехал из пункта Начальный в пункт Конечный со скоростью 50 км/ч. Спустя 4 часа второй поезд выехал из пункта Конечный навстречу первому и стал двигаться со скоростью 70 км/ч. Через сколько времени после отправления первого поезда они встретятся?​

Answer 1

Ответ:

7 часов

Пошаговое объяснение:

Первому поезду на весь путь необходимо потратить 1100÷50=22 часа

Второму поезду на весь путь необходимо потратить 1100÷70= 15 часов (округлённо)

Если второй выехал через 4 часа после отправления первого, значит первый проехал 200 км.

22ч-1100км

хч-550км х = 11 часов на половину пути

11 часов - 4 часа = 7 часов

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for the two trains to meet. We are given the distance between the two towns, the speed of the first train, and the speed of the second train. We can use the formula:

Time = Distance / Speed

We'll calculate the time it takes for each train to cover the distance between the two towns, and then find the time it takes for them to meet by subtracting the time it took for the second train to start from the total time it took for the first train to reach the meeting point.

Calculation

Let's calculate the time it takes for each train to cover the distance between the two towns.

The distance between the two towns is given as 1100 km.

The speed of the first train is 50 km/h. Using the formula, we can calculate the time it takes for the first train to cover the distance:

Time taken by the first train = Distance / Speed = 1100 km / 50 km/h = 22 hours

The second train starts 4 hours after the first train. So, the time taken by the second train to cover the distance is:

Time taken by the second train = Time taken by the first train - Delay = 22 hours - 4 hours = 18 hours

Now, we can find the time it takes for the two trains to meet by subtracting the time taken by the second train from the total time taken by the first train:

Time taken for the trains to meet = Time taken by the first train - Time taken by the second train = 22 hours - 18 hours = 4 hours

Therefore, the two trains will meet after 4 hours.

Answer

The two trains will meet after 4 hours.

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