Question

Поезд, двигаясь равномерно со скоростью 26 км/ч, проезжает мимо пешехода, идущего параллельно путям со скоростью 4 км/ч навстречу поезду, за 90 секунд. Найдите длину поезда в метрах. Заранее спасибо

Answer 1

Решение
26+90=116
116/4=29

Answer 2

Problem Analysis

We are given the following information: - The train is moving at a constant speed of 26 km/h. - A pedestrian is walking parallel to the tracks towards the train at a speed of 4 km/h. - The pedestrian takes 90 seconds to pass the train.

We need to find the length of the train in meters.

Solution

To find the length of the train, we can use the relative speed between the train and the pedestrian. The relative speed is the sum of their speeds since they are moving in opposite directions.

Let's calculate the relative speed first: Relative speed = Speed of the train + Speed of the pedestrian

Given: Speed of the train = 26 km/h Speed of the pedestrian = 4 km/h

Relative speed = 26 km/h + 4 km/h = 30 km/h

Now, we need to convert the relative speed from km/h to m/s because the time is given in seconds.

1 km/h = 1000 m/3600 s = 5/18 m/s

Relative speed = 30 km/h * (5/18) m/s = 25/3 m/s

We know that distance = speed * time. Rearranging the formula, we have:

Length of the train = Relative speed * Time taken

Given: Time taken = 90 seconds

Length of the train = (25/3) m/s * 90 s

Now, let's calculate the length of the train.