Question

Поезд, дви­га­ясь рав­но­мер­но со ско­ро­стью 57 км/ч, про­ез­жа­ет мимо пе­ше­хо­да, иду­ще­го по плат­фор­ме па­рал­лель­но путям со ско­ро­стью 3 км/ч нав­стре­чу по­ез­ду, за 36 се­кунд. Най­ди­те длину по­ез­да в мет­рах. За­пи­ши­те ре­ше­ние и ответ.​

Answer 1

Ответ:

Пошаговое объяснение:

Длина поезда будет равна сумме скоростей поезда и пешехода, умноженной на время движения поезда мимо пешехода:

0,006 км   м 600

Answer 2

Відповідь:

Покрокове пояснення:

36с=0.01часа

S=Vпоезда×t=57×0.01=0.57км

S=Vпешехода×t=3×0.01=0.03км

Длина поезда=0.57-0.03=0.54км=540м

Answer 3

Problem Analysis

We are given that a train is moving uniformly at a speed of 57 km/h and passes a pedestrian walking parallel to the tracks in the opposite direction at a speed of 3 km/h. We need to find the length of the train in meters.

Solution

To solve this problem, we can use the relative speed concept. The relative speed is the difference between the speeds of two objects moving in opposite directions.

Let's denote the speed of the train as V_train and the speed of the pedestrian as V_pedestrian. The relative speed between the train and the pedestrian is given by:

Relative Speed = V_train + (-V_pedestrian)

Since the pedestrian is moving in the opposite direction, we take the negative of their speed.

We are given that the relative speed is equal to the distance covered by the train in a given time. Let's denote the distance covered by the train as D_train and the time taken as T.

Relative Speed = D_train / T

We can now set up the equation:

V_train + (-V_pedestrian) = D_train / T

Substituting the given values:

57 km/h + (-3 km/h) = D_train / 36 seconds

Simplifying the equation:

54 km/h = D_train / 36 seconds

To convert the speed from km/h to m/s, we divide by 3.6:

15 m/s = D_train / 36 seconds

Now, we can solve for the length of the train, D_train:

D_train = 15 m/s * 36 seconds

D_train = 540 meters

Therefore, the length of the train is 540 meters.

Answer

The length of the train is 540 meters.

Explanation

The train is moving at a speed of 57 km/h, and it passes a pedestrian walking parallel to the tracks in the opposite direction at a speed of 3 km/h. The relative speed between the train and the pedestrian is the sum of their speeds, which is 57 km/h + (-3 km/h) = 54 km/h. This relative speed is equal to the distance covered by the train in a given time. Solving for the distance, we find that the length of the train is 540 meters.