Question

5 класс номер 287 математикадва поезда отшли одновременно отодной станции впротивоположных направлениях . Их скорость 60 км/ч и 70км/ч. Через сколько часов расстояние между ними будет равно 260км и 520км

Answer 1

1) через 2 часа
2) через 4 часа.

Answer 2

Problem Statement

Два поезда отправились одновременно от одной станции в противоположных направлениях. Скорость первого поезда составляет 60 км/ч, а второго - 70 км/ч. Через сколько часов расстояние между ними будет равно 260 км и 520 км?

Solution

To find out how long it will take for the distance between the two trains to be equal to 260 km and 520 km, we can use the formula:

Distance = Speed x Time

Let's assume that the time it takes for the distance between the two trains to be equal to 260 km is t hours.

For the first train, the distance it travels in t hours is given by: 60t km.

For the second train, the distance it travels in t hours is given by: 70t km.

According to the problem statement, the sum of the distances traveled by the two trains should be equal to 260 km:

60t + 70t = 260

Simplifying the equation:

130t = 260

Dividing both sides of the equation by 130:

t = 2

Therefore, it will take 2 hours for the distance between the two trains to be equal to 260 km.

Similarly, to find out how long it will take for the distance between the two trains to be equal to 520 km, we can use the same formula:

Distance = Speed x Time

Let's assume that the time it takes for the distance between the two trains to be equal to 520 km is t hours.

For the first train, the distance it travels in t hours is given by: 60t km.

For the second train, the distance it travels in t hours is given by: 70t km.

According to the problem statement, the sum of the distances traveled by the two trains should be equal to 520 km:

60t + 70t = 520

Simplifying the equation:

130t = 520

Dividing both sides of the equation by 130:

t = 4

Therefore, it will take 4 hours for the distance between the two trains to be equal to 520 km.

To summarize: - It will take