Question

Помогите решить задачу ))расстояние между станциями А и В равно 165 км.От этих станций одновременнонавстречу друг к другу отправляются два поезда и встречаются через 1.5 на разъезде,который находится в 90 км от станции А.с какой скоростью едут поезда??Зарание спасибо:))

Answer 1

165-90=75км- расстояние от В до разъезда
75:1,5=50км/ч- скорость поезда, который идет от станции В
90:1,5=60км/ч- скорость второго поезда

Answer 2

Problem Analysis

We have two trains traveling towards each other from stations A and B. The distance between the stations is 165 km. They meet at a junction that is 90 km from station A. We need to find the speed at which the trains are traveling.

Solution

Let's assume the speed of the first train is x km/h and the speed of the second train is y km/h.

To find the speed of the trains, we can use the formula: Speed = Distance / Time.

We know that the trains meet after 1.5 hours and the distance between them is 90 km. Therefore, the relative speed of the trains is 90 km / 1.5 hours = 60 km/h.

Since the trains are traveling towards each other, their speeds are added together. So we have the equation: x + y = 60.

We also know that the distance between the stations is 165 km. The first train travels 90 km to reach the junction, and the second train travels the remaining 165 km - 90 km = 75 km to reach the junction.

Using the formula Speed = Distance / Time, we can write the equations: - For the first train: x = 90 km / 1.5 hours = 60 km/h - For the second train: y = 75 km / 1.5 hours = 50 km/h

Therefore, the first train is traveling at a speed of 60 km/h and the second train is traveling at a speed of 50 km/h.

Answer

The first train is traveling at a speed of 60 km/h and the second train is traveling at a speed of 50 km/h.

Please let me know if you need any further assistance!