Question

Поезд из Москвы в Санкт-Петербург идёт без остановок со скоростью 70 км/ч. Другой поезд идёт ему на встречу из Санкт-Петербурга в Москву со скоростью 60 км/ч тоже без остановок. На каком расстоянии будут эти поезда за 1 час ло встречи?

Answer 1

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Answer 2

Calculation of Distance Traveled by the Trains

To calculate the distance traveled by the trains in 1 hour before they meet, we need to consider their speeds and the time it takes for them to meet.

Let's assume that the distance between Moscow and St. Petersburg is D kilometers.

The first train, traveling from Moscow to St. Petersburg at a speed of 70 km/h, will cover a distance of 70 kilometers in 1 hour.

The second train, traveling from St. Petersburg to Moscow at a speed of 60 km/h, will cover a distance of 60 kilometers in 1 hour.

Since the two trains are traveling towards each other, their combined speed is 70 km/h + 60 km/h = 130 km/h.

Therefore, the total distance covered by the two trains in 1 hour before they meet is 130 kilometers.

Calculation of the Distance between the Trains at the Time of Meeting

To calculate the distance between the two trains at the time of their meeting, we need to consider their speeds and the time it takes for them to meet.

Since the two trains are traveling towards each other, their combined speed is 70 km/h + 60 km/h = 130 km/h.

The time it takes for the two trains to meet can be calculated using the formula:

Time = Distance / Speed

In this case, the distance between the two trains is equal to the distance between Moscow and St. Petersburg, which we assumed to be D kilometers.

Therefore, the time it takes for the two trains to meet is:

Time = D / 130

Now, we need to calculate the distance between the two trains at the time of their meeting. This can be done using the formula:

Distance = Speed * Time

Substituting the values, we get:

Distance = 70 km/h * (D / 130) = 70D / 130 kilometers

Therefore, the distance between the two trains at the time of their meeting is 70D / 130 kilometers.

Conclusion

In summary, the two trains will cover a total distance of 130 kilometers in 1 hour before they meet. The distance between the two trains at the time of their meeting is calculated to be 70D / 130 kilometers, where D represents the distance between Moscow and St. Petersburg.

Please note that the actual distance between Moscow and St. Petersburg was not provided in the question, so we cannot provide a specific numerical value for the distance between the trains at the time of their meeting.