Question

Два пассажира в одно и в тоже время сели в одну и ту же электричку и одновременно двинулись по вагонам в противоположные стороны скорость первого пассажира идущего к головному вагону 2 м/ с а скорость второго идущего к хвостовому вагону 1 м/ с . Скорость электрички в котором идут оба пассажира 64 км 800 м/час. Вычисли и запиши скорости с которой каждый из пассажиров приближается к станции назначения

Answer 1

Problem Analysis

We have two passengers who board the same train simultaneously and start moving in opposite directions. The speed of the first passenger towards the front of the train is 2 m/s, while the speed of the second passenger towards the back of the train is 1 m/s. The speed of the train itself is given as 64.8 km/h. We need to calculate the speeds at which each passenger is approaching their respective destinations.

Solution

To solve this problem, we need to consider the relative velocities of the passengers with respect to the train. Let's assume that the destination station is located at a distance of 'd' from the initial position of the passengers.

The speed of the train is given as 64.8 km/h, which is equivalent to 18 m/s. Since both passengers are moving in opposite directions, their relative velocities with respect to the train will be the sum of their individual velocities and the velocity of the train.

Let's calculate the relative velocities of the passengers:

- The relative velocity of the first passenger towards the front of the train is the sum of their individual velocities: 2 m/s + 18 m/s = 20 m/s. - The relative velocity of the second passenger towards the back of the train is the difference of their individual velocities: 18 m/s - 1 m/s = 17 m/s.

Now, we can calculate the speeds at which each passenger is approaching their respective destinations:

- The speed at which the first passenger is approaching the destination station is 20 m/s. - The speed at which the second passenger is approaching the destination station is 17 m/s.

Therefore, the first passenger is approaching the station at a speed of 20 m/s, and the second passenger is approaching the station at a speed of 17 m/s.

Answer

The first passenger is approaching the destination station at a speed of 20 m/s, and the second passenger is approaching the destination station at a speed of 17 m/s.