Question

По параллельным железнодорожным путям навстречу друг другу двигаются два поезда: грузовой со скоростью 54 км/ч и пассажирский со скоростью 72км/ч. Определите длину пассажирского поезда, если интервал времени, на протяжении которого пассажирский поезд проходит вдоль машиниста грузового, составляет 14 с.

Answer 1

s-длина поезда

v- скорость относительно грузового= V1+V2=126 км в час = 35 м в сек

t=14 время прохождения этого пути

s=v*t=35*14=490м

Answer 2

Problem Analysis

We are given two trains moving towards each other on parallel railway tracks. The freight train is moving at a speed of 54 km/h, and the passenger train is moving at a speed of 72 km/h. We need to determine the length of the passenger train, given that the time interval during which the passenger train passes the freight train's driver is 14 seconds.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume the length of the passenger train is x.

The passenger train is moving towards the freight train, so the relative speed between the two trains is the sum of their speeds: 72 km/h + 54 km/h = 126 km/h.

We need to convert the speed from km/h to m/s to match the time interval given in seconds. We know that 1 km/h is equal to 1000 m/3600 s, so the relative speed between the two trains is 126 km/h × (1000 m/3600 s) = 35 m/s.

Using the formula distance = speed × time, we can calculate the distance traveled by the passenger train in 14 seconds: distance = 35 m/s × 14 s = 490 meters.

Since the passenger train's length is equal to the distance it travels in the given time interval, we can conclude that the length of the passenger train is 490 meters.

Answer

The length of the passenger train is 490 meters.