Question

Два поезда ехали навстречу друг другу с одинаковой скоростью до места встречи первый поезд шёл 12ч а второй 7ч какой путь прошёл каждый поезд если первый прошёл на 320 км больше

Answer 1

1)12-7=5(ч) разница 2)320:5=64(км\ч)- скорость. 3)64×12=768(км) расстояние 1 поезда 4)64×7=448(км) расстояние 2 поезда. Ответ: 1 поезд прошел 768 км , а 2 448 км.

Answer 2

Problem Statement

Два поезда ехали навстречу друг другу с одинаковой скоростью. Первый поезд шёл 12 часов, а второй - 7 часов. Если первый поезд прошёл на 320 км больше, какой путь прошёл каждый поезд?

Solution

To find the distance traveled by each train, we can use the formula:

Distance = Speed × Time

Since both trains were traveling at the same speed, we can assume the speed is constant for both trains.

Let's assume the speed of each train is S km/h.

The first train traveled for 12 hours, so the distance it covered can be calculated as:

Distance of the first train = Speed × Time = S × 12

The second train traveled for 7 hours, so the distance it covered can be calculated as:

Distance of the second train = Speed × Time = S × 7

We are given that the first train traveled 320 km more than the second train. Therefore, we can write the equation:

Distance of the first train = Distance of the second train + 320

Substituting the values we calculated earlier, we get:

S × 12 = S × 7 + 320

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

Solving the Equation

To solve the equation, we can simplify it as follows:

12S = 7S + 320

Subtracting 7S from both sides:

12S - 7S = 320

Simplifying:

5S = 320

Dividing both sides by 5:

S = 320 / 5

Simplifying:

S = 64

Therefore, the speed of each train is 64 km/h.

Calculating the Distance Traveled

Now that we know the speed of each train, we can calculate the distance traveled by each train.

For the first train:

Distance of the first train = Speed × Time = 64 × 12 = 768 km

For the second train:

Distance of the second train = Speed × Time = 64 × 7 = 448 km

Therefore, the first train traveled 768 km, and the second train traveled 448 km.

Answer

The first train traveled a distance of 768 km, and the second train traveled a distance of 448 km.

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