Question

Пассажирский поезд , двигавшийся со скоростью 56 км.ч , пошел мимо встречного поезда , двигавшегося со скоростью 34 км.ч , за 15 сек. Какова длина поезда

Answer 1

Calculation of Train Length

To calculate the length of the train, we can use the formula:

Length of train = (Relative speed of the two trains) × (Time taken to pass each other)

Given: - Speed of the passenger train = 56 km/h - Speed of the oncoming train = 34 km/h - Time taken to pass each other = 15 seconds

First, let's convert the speeds from km/h to m/s:

- Speed of the passenger train = 56 km/h = 56 × (1000/3600) m/s = 15.56 m/s - Speed of the oncoming train = 34 km/h = 34 × (1000/3600) m/s = 9.44 m/s

Now, let's calculate the relative speed of the two trains:

- Relative speed = Speed of the passenger train + Speed of the oncoming train - Relative speed = 15.56 m/s + 9.44 m/s = 25 m/s

Finally, we can calculate the length of the train:

- Length of train = Relative speed × Time taken to pass each other - Length of train = 25 m/s × 15 seconds = 375 meters

Therefore, the length of the train is 375 meters.