Question

Поезд отправился из Санкт-Петербурга в 23 ч 15 мин и прибыл в Москву в 6 ч 25 мин следующего дня. По пути он сделал 2 остановки : на станции Бологое и в городе Тверь, по 5 минут каждая. С какой средней скоростью двигался этот поезд, если он прошёл 651 км? (если можно то с пояснениями)

Answer 1

Время в пути: 24ч. - 23ч.15м. = 45 минут до полуночи,
45м. + 6ч.25м. = 7ч.10м. время с остановками
7ч.10м. - 2 х 5м. = 7 часов в движении.
651км : 7час = 93км/час средняя скорость

Answer 2

Problem Analysis

We are given the departure and arrival times of a train from St. Petersburg to Moscow, as well as the duration of two stops along the way. We need to calculate the average speed of the train.

Solution

To calculate the average speed of the train, we need to determine the total time it took for the train to travel from St. Petersburg to Moscow and the distance covered.

1. Calculate the total time: - The train departed from St. Petersburg at 23:15 and arrived in Moscow at 6:25 the next day. - The journey took approximately 7 hours and 10 minutes. - However, we need to subtract the time spent on the two stops: 2 stops of 5 minutes each. - Therefore, the total time spent traveling is 7 hours and 10 minutes minus 10 minutes for the stops.

2. Calculate the distance: - The train traveled a distance of 651 km from St. Petersburg to Moscow.

3. Calculate the average speed: - Divide the distance by the total time to get the average speed.

Let's calculate the average speed of the train.

Calculation

1. Total time: - Departure time: 23:15 - Arrival time: 6:25 the next day - Total time spent traveling: 7 hours and 10 minutes - 10 minutes for the stops = 7 hours

2. Distance: - Distance traveled: 651 km

3. Average speed: - Average speed = Distance / Time - Average speed = 651 km / 7 hours = 93 km/h

Therefore, the average speed of the train from St. Petersburg to Moscow was approximately 93 km/h.

Answer

The train traveled from St. Petersburg to Moscow with an average speed of approximately 93 km/h.

Note: The calculation assumes that the train traveled at a constant speed throughout the journey and that the stops did not significantly affect the overall average speed.