Вопрос задан 10.11.2023 в 20:26. Предмет Математика. Спрашивает Бондарев Антон.

Полина и Ольга одновременно стартуют одного места в одну сторону по круговой дорожке возле школы

через две минуты Полина да гнило Ольгу какова скорость у Ольги и сколько метров пробежала каждая девочка если длина беговой дорожки 300 м и скорость Полины 4 МС с действиями! Пж
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Отвечает Гавриш Лев.

Пошаговое объяснение:300:4=75

75·300=2700

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

- Polina and Olga start running from the same point on a circular track near the school. - After two minutes, Polina overtakes Olga. - We need to find Olga's speed and the distance each girl has run. - The length of the track is 300 meters. - Polina's speed is 4 m/s.

Solution

To solve this problem, we can use the concept of relative speed.

Let's assume that Olga's speed is v m/s and the time taken by both girls to meet is t seconds.

Since Polina overtakes Olga after two minutes, we can convert this time to seconds: 2 minutes = 2 * 60 seconds = 120 seconds.

Now, let's calculate the distance each girl has run.

The distance covered by Polina in t seconds can be calculated using the formula: distance = speed * time. In this case, Polina's speed is 4 m/s and the time is t seconds.

The distance covered by Olga in t seconds can be calculated using the same formula: distance = speed * time. In this case, Olga's speed is v m/s and the time is t seconds.

Since the track is circular, the distance covered by each girl will be equal to the length of the track, which is 300 meters.

Now, let's solve the equations to find Olga's speed and the distance each girl has run.

Calculation

- Distance covered by Polina = 4 m/s * t seconds - Distance covered by Olga = v m/s * t seconds

Since the distance covered by each girl is equal to the length of the track, we can set up the following equation:

4 m/s * t seconds = 300 meters

Solving for t, we get:

t = 300 meters / 4 m/s = 75 seconds

Now, we can substitute the value of t into the equation for the distance covered by Olga:

v m/s * 75 seconds = 300 meters

Solving for v, we get:

v = 300 meters / 75 seconds = 4 m/s

Therefore, Olga's speed is 4 m/s.

Now, let's calculate the distance each girl has run.

Distance covered by Polina = 4 m/s * 75 seconds = 300 meters

Distance covered by Olga = 4 m/s * 75 seconds = 300 meters

Answer

- Olga's speed is 4 m/s. - Both Polina and Olga have run 300 meters.

Please let me know if you need any further assistance.

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