Вопрос задан 05.11.2023 в 18:27. Предмет Математика. Спрашивает Фёдорова Елизавета.

С двух полигонов, расстояние между которыми 45 км, одновременно навстречу друг другу вышли две роты

солдат. Скорость одной роты 4 км/ч, и прошла она до места встречи 20 км. С какой скоростью шла вторая рота солдат (помогите плиз ) ​
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Отвечает Наумцев Дима.

Ответ:

Пошаговое объяснение:

1 рота шла  до встречи 20/4 = 5 часов

2 рота прошла до встречи 45-20 = 25 км, и шла она те же 5 часов, значит ее скорость 25/5 = 5 км/час

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

Problem Analysis

We have two military units, each moving towards each other from two different locations. The distance between the two locations is 45 km. One unit has already traveled 20 km and we need to find the speed at which the second unit is moving.

Solution

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

Speed = Distance / Time

We know the distance between the two units is 45 km. We also know that the first unit has already traveled 20 km. Therefore, the remaining distance for the second unit is 45 km - 20 km = 25 km.

To find the time taken by the second unit to cover this distance, we can rearrange the formula:

Time = Distance / Speed

We can substitute the known values into this formula to find the time taken by the second unit. Then, we can use this time to calculate the speed of the second unit.

Let's calculate the speed of the second unit step by step.

Calculation

1. Distance between the two units: 45 km 2. Distance traveled by the first unit: 20 km 3. Remaining distance for the second unit: 45 km - 20 km = 25 km

Now, we need to find the time taken by the second unit to cover this remaining distance.

Time = Distance / Speed

Substituting the values:

Time = 25 km / Speed

We know the speed of the first unit is 4 km/h. Let's assume the speed of the second unit is x km/h.

Time = 25 km / x

We can now equate the time taken by the first unit and the time taken by the second unit:

Time taken by the first unit = Time taken by the second unit

20 km / 4 km/h = 25 km / x km/h

Simplifying the equation:

5 hours = 25 km / x km/h

To find the speed of the second unit, we can cross-multiply:

5 hours * x km/h = 25 km

Simplifying further:

5x = 25

Dividing both sides by 5:

x = 5

Therefore, the speed of the second unit is 5 km/h.

Answer

The second unit of soldiers is moving at a speed of 5 km/h.

Verification

Let's verify the answer using the given information.

The first unit has already traveled 20 km at a speed of 4 km/h. The remaining distance for the second unit is 25 km. If the second unit is moving at a speed of 5 km/h, it will take them:

Time = Distance / Speed

Time = 25 km / 5 km/h = 5 hours

The first unit took 5 hours to cover the initial 20 km. Therefore, the answer is verified.

Conclusion

The second unit of soldiers is moving at a speed of 5 km/h.

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