Question

Два поезда одновременно отошли от станции.Через 45 мин каждый из них сделал остановку.На сколько скорость одного поезда больше скорости другого,если один поезд прошёл от станции до остановки 51 км,а другой 48км?

Answer 1

45мин=3/4час

51*4/3=68(км/час) - cкорость І поезда

48*4/3=64(км/час) - скорость ІІ поезда

68-64=4(км/час)

Ответ: на 4км/час больше

Answer 2

Ответ: Скорость одного поезда больше скорости другого на 4 км/ч.

Объяснение: Пусть скорость первого поезда равна v1 км/ч, а скорость второго поезда равна v2 км/ч. Тогда, по условию задачи, имеем следующие уравнения:

$$v1 \times 45 = 51$$ $$v2 \times 45 = 48$$

Решая эти уравнения, находим:

$$v1 = \frac{51}{45} = 1.13 \text{ км/мин}$$ $$v2 = \frac{48}{45} = 1.07 \text{ км/мин}$$

Переводя км/мин в км/ч, получаем:

$$v1 = 1.13 \times 60 = 67.8 \text{ км/ч}$$ $$v2 = 1.07 \times 60 = 64.2 \text{ км/ч}$$

Тогда разность скоростей равна:

$$v1 - v2 = 67.8 - 64.2 = 3.6 \text{ км/ч}$$

Округляя до целого числа, получаем ответ:

$$v1 - v2 = 4 \text{ км/ч}$$

Answer 3

Problem Analysis

We are given that two trains departed from a station simultaneously. After 45 minutes, each train made a stop. We need to determine the difference in speed between the two trains, given that one train traveled 51 km from the station to the stop, while the other train traveled 48 km.

Solution

To solve this problem, we can use the formula for speed, which is distance divided by time. Let's assume the speed of one train is x km/h and the speed of the other train is y km/h.

We know that the distance traveled by the first train is 51 km and the distance traveled by the second train is 48 km. We also know that both trains traveled for 45 minutes before making a stop.

Using the formula for speed, we can set up the following equations:

For the first train: 51 km = x km/h * (45/60) h

For the second train: 48 km = y km/h * (45/60) h

To find the difference in speed between the two trains, we can subtract the second equation from the first equation:

51 km - 48 km = (x km/h * (45/60) h) - (y km/h * (45/60) h)

Simplifying the equation:

3 km = (x km/h - y km/h) * (45/60) h

To find the difference in speed, we can divide both sides of the equation by (45/60) h:

3 km / (45/60) h = x km/h - y km/h

Simplifying further:

4 km/h = x km/h - y km/h

Therefore, the difference in speed between the two trains is 4 km/h.

Answer

The speed of one train is 4 km/h greater than the speed of the other train.