Question

От одной станции в противоположных направлениях одновременно отправились два поезда. Через 2ч 45мин после начала движения расстояние между поездами было 330 км.Скорость одного поезда равна 56 км/ч. Найдите скорость второго поезда

Answer 1

330/2,75=56+x;
x=120-56=64 (км/ч);
ответ: 64 км/ч.

Answer 2

Problem Analysis

We are given that two trains start simultaneously from the same station in opposite directions. After 2 hours and 45 minutes, the distance between the trains is 330 km. We are also given that the speed of one train is 56 km/h. We need to find the speed of the second train.

Solution

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

We know that the distance traveled by a train is equal to the product of its speed and time. Therefore, the distance traveled by the first train in 2 hours and 45 minutes (or 2.75 hours) is:

Distance1 = Speed1 * Time1

Substituting the given values:

330 km = 56 km/h * 2.75 h

Now, let's calculate the speed of the second train:

Distance2 = Speed2 * Time2

The time taken by the second train is the same as the time taken by the first train, which is 2.75 hours. Therefore:

330 km = x km/h * 2.75 h

To find the value of x, we can rearrange the equation:

x km/h = 330 km / 2.75 h

Now, let's calculate the value of x:

x = 330 km / 2.75 h

Using a calculator, we find that x ≈ 120 km/h.

Therefore, the speed of the second train is approximately 120 km/h.

Answer

The speed of the second train is approximately 120 km/h.