Question

Два поезда идут навстречу друг другу с двух станций расстояние между которыми 385 км. Первый вышел на раньше на 2 часа и движется со скоростью 53 километров в час. Черз 3 часа после выхода второго поезда они встретились Какова скорость второго поезда.

Answer 1

Простите, что криво. Торопилась)

Answer 2

Problem Analysis

We are given two trains traveling towards each other from two different stations. The distance between the stations is 385 km. The first train started 2 hours earlier and is moving at a speed of 53 km/h. The second train started 3 hours after the first train. We need to find the speed of the second train.

Solution

To find the speed of the second train, we can use the formula:

Speed = Distance / Time

Let's calculate the time it took for the two trains to meet.

The first train traveled for a total of (2 + x) hours, where x is the time it took for the second train to meet the first train.

The second train traveled for a total of x hours.

The total distance traveled by both trains is equal to the distance between the stations, which is 385 km.

Using the formula for speed, we can write the following equation:

53 * (2 + x) + v * x = 385

Where v is the speed of the second train.

Now, let's solve this equation to find the value of v.

Calculation

53 * (2 + x) + v * x = 385

Expanding the equation:

106 + 53x + vx = 385

Rearranging the equation:

53x + vx = 385 - 106

x(53 + v) = 279

Dividing both sides by (53 + v):

x = 279 / (53 + v)

Since the second train started 3 hours after the first train, we can substitute x = 3:

3 = 279 / (53 + v)

Cross-multiplying:

3(53 + v) = 279

Expanding the equation:

159 + 3v = 279

Subtracting 159 from both sides:

3v = 120

Dividing both sides by 3:

v = 40

Therefore, the speed of the second train is 40 km/h.

Answer

The speed of the second train is 40 km/h.