Question

Решите задачу срочно!Из двух городов, расстояние между которыми 1200км,вышли на встречу друг другу два поезда.Один из них проходит это расстояние за 20часов,другой- за 30 часов.Через сколько часов поезда встретятся? Решите с подробыными действиями и пояснениями!Заранее спасибо

Answer 1

1200:(20+30)=24(Ч)                                                                                                                                               

ответ:они встретяться через 24 часа

 

Answer 2

Problem Analysis

We have two trains traveling towards each other from two different cities. The distance between the cities is 1200 km. One train takes 20 hours to cover this distance, while the other train takes 30 hours. We need to determine how many hours it will take for the trains to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of two objects moving towards each other is the sum of their individual speeds. In this case, the relative speed of the two trains is the sum of their speeds.

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

We know that the distance covered by the first train in 20 hours is 1200 km, so we can set up the equation:

Distance = Speed × Time

For the first train: x × 20 = 1200

Similarly, for the second train: y × 30 = 1200

We can solve these two equations simultaneously to find the values of x and y.

Solving the Equations

From the first equation, we can solve for x: x = 1200 / 20 = 60 km/h

From the second equation, we can solve for y: y = 1200 / 30 = 40 km/h

Now that we know the speeds of the two trains, we can calculate the relative speed by adding their speeds: Relative Speed = x + y = 60 + 40 = 100 km/h

To find the time it takes for the trains to meet, we can use the formula: Time = Distance / Relative Speed

Substituting the values: Time = 1200 / 100 = 12 hours

Therefore, the trains will meet after 12 hours.

Answer

The trains will meet after 12 hours.

Please let me know if you need any further clarification.