Question

Решите пожалуйста задачу По двум параллельным железнодорожным путям в одном направлении следуют пассажирский и товарный поезда, скорости которых равны соответственно 190 км/ч и 40 км/ч. Длина товарного поезда равна 1550 метрам. Найдите длину пассажирского поезда, если время, за которое он прошел мимо товарного поезда, равно 1 минуте. Ответ дайте в метрах.

Answer 1

1) скорость пассажирского относительно товарного 190-40=150 км/ч

2)пассажирский обогнал товарный за 1 мин=1/60 часа,за это время он прошел длину товарного 1550м(1,55 км)и свою собственную длину,ее и обозначим х км: 150*1/60=1,55+х
решим уравнение
1,55+х=2,5
х=2,5-1,55
х=0,95 км или 950 м длина пассажирского поезда.

Answer 2

Problem Analysis

We are given two parallel railway tracks, and a passenger train and a freight train are traveling in the same direction on these tracks. The speeds of the trains are given as 190 km/h and 40 km/h, respectively. The length of the freight train is 1550 meters. We need to find the length of the passenger train, given that it takes 1 minute for the passenger train to pass the freight train.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of the passenger train with respect to the freight train is the difference between their speeds. Let's calculate the relative speed:

Relative speed = Speed of passenger train - Speed of freight train

Using the given speeds, we have:

Relative speed = 190 km/h - 40 km/h

Now, we need to convert the relative speed to meters per minute, as the time is given in minutes. To do this, we can use the conversion factor: 1 km/h = (1000/60) m/min.

Relative speed = (190 km/h - 40 km/h) * (1000/60) m/min

Next, we can calculate the distance traveled by the passenger train in 1 minute. The distance traveled is equal to the length of the freight train plus the length of the passenger train.

Distance traveled by passenger train = Length of freight train + Length of passenger train

We are given the length of the freight train as 1550 meters. Let's substitute the values and solve for the length of the passenger train.

Calculation

Relative speed = (190 km/h - 40 km/h) * (1000/60) m/min

Distance traveled by passenger train = 1550 meters + Length of passenger train

Solution Steps

1. Calculate the relative speed using the given speeds. 2. Convert the relative speed to meters per minute. 3. Substitute the values into the equation for the distance traveled by the passenger train. 4. Solve for the length of the passenger train.

Calculation

1. Relative speed = (190 km/h - 40 km/h) * (1000/60) m/min - Relative speed = 150 km/h * (1000/60) m/min - Relative speed = 2500 m/min

2. Distance traveled by passenger train = 1550 meters + Length of passenger train

3. Substitute the relative speed and distance traveled into the equation: - 2500 m/min = 1550 meters + Length of passenger train

4. Solve for the length of the passenger train: - Length of passenger train = 2500 m/min - 1550 meters - Length of passenger train = 950 meters

Answer

The length of the passenger train is 950 meters.

Note: The answer is based on the given information and calculations.