Question

Из Санкт-Петербурга в Москву вышел поезд и, двигаясь со скоростью 69 км/ч, через 7 часов — в 20 часов 15 минут — встретил в Торжке поезд из Москвы, который отправился в Санкт-Петербург в 18 часов 15 минут. С какой скоростью шёл московский поезд, если расстояние от Санкт-Петербурга до Москвы 651 км? Ответь на вопросы: Какой путь прошёл поезд из Санкт-Петербурга за 7 часов? Сколько часов в пути был поезд из Москвы? Какой путь прошёл поезд из Москвы? С какой скоростью шёл московский поезд?

Answer 1

Ответ:

Пошаговое объяснение:

Время в пути московского поезда до встречи поезда из Санкт-Петербурга:

20 ч 15 мин - 18 ч 15 мин = 2 ч

Путь, который прошёл поезд из Санкт-Петербурга за 7 ч:

69·7=483 км

Путь, который прошёл поезд из Москвы за 2 ч:

651-483=168 км

Скорость московского поезда:

168/2=84 км/ч

Answer 2

Calculation of the Distance Traveled by the Train from St. Petersburg in 7 Hours

To calculate the distance traveled by the train from St. Petersburg in 7 hours, we can use the formula:

Distance = Speed × Time

Given that the train was traveling at a speed of 69 km/h and the time was 7 hours, we can substitute these values into the formula:

Distance = 69 km/h × 7 hours

Calculating this, we find that the train traveled a distance of 483 km from St. Petersburg in 7 hours.

Calculation of the Travel Time for the Train from Moscow

To calculate the travel time for the train from Moscow, we need to determine the time difference between the departure from Moscow and the meeting with the train from St. Petersburg in Torzhok.

The train from Moscow departed at 18:15, and the meeting occurred at 20:15. Therefore, the travel time for the train from Moscow was 2 hours.

Calculation of the Distance Traveled by the Train from Moscow

To calculate the distance traveled by the train from Moscow, we can use the formula:

Distance = Speed × Time

Let's denote the speed of the train from Moscow as 'x' km/h. Given that the travel time was 2 hours and the distance from St. Petersburg to Moscow is 651 km, we can set up the equation:

651 km = x km/h × 2 hours

Solving this equation, we find that the speed of the train from Moscow was 325.5 km/h.

Calculation of the Speed of the Moscow Train

To calculate the speed of the Moscow train, we can use the information we have gathered. The distance traveled by the train from Moscow was 651 km, and the travel time was 2 hours. Using the formula:

Speed = Distance / Time

We can substitute the values into the formula:

Speed = 651 km / 2 hours

Calculating this, we find that the speed of the Moscow train was 325.5 km/h.

Therefore, the speed of the Moscow train was 325.5 km/h.

Please let me know if there is anything else I can help you with!

Answer 3

Calculation of the Distance Traveled by the Train from St. Petersburg in 7 Hours

To calculate the distance traveled by the train from St. Petersburg in 7 hours, we can use the formula:

Distance = Speed × Time

Given that the train was traveling at a speed of 69 km/h and the time traveled was 7 hours, we can substitute these values into the formula:

Distance = 69 km/h × 7 hours

Calculating the distance:

Distance = 483 km.

Therefore, the train from St. Petersburg traveled a distance of 483 km in 7 hours.

Calculation of the Travel Time for the Train from Moscow

To calculate the travel time for the train from Moscow, we need to find the time difference between the departure time from Moscow and the meeting time in Torzhok.

The train from Moscow departed at 18:15 and met the train from St. Petersburg at 20:15. The time difference is:

Travel Time = 20:15 - 18:15

Calculating the travel time:

Travel Time = 2 hours.

Therefore, the train from Moscow was in transit for 2 hours.

Calculation of the Distance Traveled by the Train from Moscow

To calculate the distance traveled by the train from Moscow, we can use the formula:

Distance = Speed × Time

Given that the distance from St. Petersburg to Moscow is 651 km and the travel time from Moscow is 2 hours, we can substitute these values into the formula:

651 km = Speed × 2 hours

Solving for the speed:

Speed = 651 km / 2 hours

Calculating the speed:

Speed = 325.5 km/h.

Therefore, the train from Moscow was traveling at a speed of 325.5 km/h.

In summary: - The train from St. Petersburg traveled a distance of 483 km in 7 hours. - The train from Moscow was in transit for 2 hours. - The train from Moscow traveled a distance of 651 km at a speed of 325.5 km/h.