Question

Один скоростной поезд вышел из города А в 12:00 часов со скоростью 220 км/ч. Навстречу ему из города В в 13:00 часов вышел другой скоростной поезд со скоростью 240 км/ч. Длина железно дорожного пути между городами А и В 1140 км. В котором часу поезда встретятся?

Answer 1

В 15:00 они встретятся

Answer 2

Problem Analysis

We are given two high-speed trains that are traveling towards each other. The first train departs from city A at 12:00 with a speed of 220 km/h, while the second train departs from city B at 13:00 with a speed of 240 km/h. The distance between city A and city B is 1140 km. We need to determine at what time the trains will meet.

Solution

To find the time at which the trains will meet, we can use the concept of relative speed. The relative speed of the two trains is the sum of their individual speeds. In this case, the relative speed is 220 km/h + 240 km/h = 460 km/h.

We can calculate the time it takes for the trains to meet by dividing the distance between the two cities by the relative speed of the trains:

Time = Distance / Relative Speed

Substituting the given values, we have:

Time = 1140 km / 460 km/h

Now we can calculate the time it takes for the trains to meet:

Time = 1140 km / 460 km/h
Time = 2.478 hours

Since the second train departs at 13:00 and the time it takes for the trains to meet is 2.478 hours, we can add this time to the departure time of the second train to find the meeting time:

Meeting Time = 13:00 + 2.478 hours
Meeting Time = 15:28 (approximately)

Therefore, the trains will meet at approximately 15:28.

Answer

The trains will meet at approximately 15:28.