Question

Поезд, двигаясь равномерно со скоростью 63 км/ч, проезжает мимо идущего в том же направлении параллельно путям со скоростью 3 км/ч пешехода за 57 секунд. Найдите длину поезда в метрах.

Answer 1

Относительно пешехода поезд едет со скоростью 63-3=60 км/ч
60 км/ч=60000 м/60 минут=1000 метров/60 секунд= 16 2/3 м/с

16 2/3 *57= 950 метров

Answer 2

Problem Analysis

We are given that a train is moving at a constant speed of 63 km/h and passes a pedestrian walking in the same direction at a speed of 3 km/h in 57 seconds. We need to find the length of the train in meters.

Solution

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

Length of train = (Relative speed of train and pedestrian) × Time taken to pass the pedestrian

The relative speed of the train and pedestrian is the difference between their speeds. In this case, it is 63 km/h - 3 km/h = 60 km/h.

We need to convert the relative speed from km/h to m/s, as the time is given in seconds. To convert km/h to m/s, we divide by 3.6 (1 km/h = 1/3.6 m/s).

Let's calculate the length of the train using the given information.

Calculation

Relative speed of train and pedestrian = 60 km/h = 60/3.6 m/s = 16.67 m/s

Time taken to pass the pedestrian = 57 seconds

Length of train = (Relative speed of train and pedestrian) × (Time taken to pass the pedestrian)

Length of train = 16.67 m/s × 57 s = 950.19 meters

Answer

The length of the train is approximately 950.19 meters.