Question

SOS!!! Помогите, пожалуйста решить. Машинист пассажирского поезда, двигавшегося со скоростью 56 км/ч, заметил, что товарный поезд, двигавшийся со скоростью 34 км/ч, прошёл мимо него за 15 с. Какова длина товарного поезда?

Answer 1

1) 56+34=90 (км/ч.)
     25 (м/с).
2) 25*15=375 метров
Ответ: 375 (м.) - длина товарного поезда

Answer 2

Calculation of the Length of the Freight Train

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

Length = (Relative Speed × Time) / Speed of the Freight Train

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

Let's calculate the length of the freight train using the formula mentioned above.

Step 1: Convert the speeds from km/h to m/s for consistency.

- Speed of the passenger train = 56 km/h = (56 × 1000) / 3600 m/s = 140/9 m/s (approximately 15.56 m/s) - Speed of the freight train = 34 km/h = (34 × 1000) / 3600 m/s = 85/9 m/s (approximately 9.44 m/s)

Step 2: Substitute the values into the formula.

- Length = ((Relative Speed) × (Time)) / (Speed of the Freight Train) - Length = ((15.56 m/s + 9.44 m/s) × 15 s) / (9.44 m/s) - Length = (25 m/s × 15 s) / (9.44 m/s) - Length = 375 m / 9.44 m/s - Length ≈ 39.71 meters

Therefore, the length of the freight train is approximately 39.71 meters.

Please note that the above calculation assumes that the entire length of the freight train passed the passenger train within the given time.