Question

Машинист пассажирского поезда двигался со скоростью 56 км/ч заметил что встречный товарный поезд двигается навстречу со скоростью 34 км/ч, прошел мимо него за 15 секунд . Какова длина товарного поезда?

Answer 1

Calculation of the Length of the Freight Train

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

Length of train = (Relative speed of the two trains) x (Time taken to pass the train)

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

To calculate the relative speed of the two trains, we subtract the speed of the freight train from the speed of the passenger train:

Relative speed = 56 km/h - 34 km/h = 22 km/h

Now we can calculate the length of the freight train using the formula mentioned above:

Length of train = (Relative speed of the two trains) x (Time taken to pass the train)

Length of train = 22 km/h x 15 seconds

To calculate the length of the train, we need to convert the time taken to pass the train from seconds to hours:

15 seconds = 15/3600 hours (since there are 3600 seconds in an hour)

Length of train = 22 km/h x (15/3600) hours

Simplifying the calculation:

Length of train = 0.0917 km

Therefore, the length of the freight train is approximately 0.0917 km.

Please note that the above calculation assumes that the length of the passenger train is negligible compared to the length of the freight train.