Вопрос задан 26.02.2019 в 05:11. Предмет Математика. Спрашивает Шевченко Маша.

Теплоход шел 2, 4 часа против течения реки и 3,2 часа по течению собственная скорость теплохода 45

километров в час а скорость течения реки 3 километра в час какой путь прошел теплоход за все это время
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Отвечает Юнаев Никита.
Теплоход прошел (45 - 3) * 2,4 + (45+3) *3,2 = 100,8 +  153,6 =254,4 км
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

We are given the following information: - The boat traveled against the current for 2.4 hours. - The boat traveled with the current for 3.2 hours. - The boat's speed is 45 kilometers per hour. - The current's speed is 3 kilometers per hour.

We need to find the total distance traveled by the boat during this time.

Solution

To find the total distance traveled by the boat, we need to calculate the distance traveled against the current and the distance traveled with the current, and then add them together.

Let's start by calculating the distance traveled against the current. We can use the formula:

Distance = Speed x Time

The boat's speed against the current is the boat's speed minus the current's speed, which is 45 - 3 = 42 kilometers per hour.

The time traveled against the current is 2.4 hours.

Therefore, the distance traveled against the current is:

Distance against current = Speed against current x Time against current = 42 km/h x 2.4 h

Next, let's calculate the distance traveled with the current. The boat's speed with the current is the boat's speed plus the current's speed, which is 45 + 3 = 48 kilometers per hour.

The time traveled with the current is 3.2 hours.

Therefore, the distance traveled with the current is:

Distance with current = Speed with current x Time with current = 48 km/h x 3.2 h

Finally, we can find the total distance traveled by adding the distance traveled against the current and the distance traveled with the current:

Total distance = Distance against current + Distance with current

Let's calculate the values:

Distance against current = 42 km/h x 2.4 h = 100.8 km

Distance with current = 48 km/h x 3.2 h = 153.6 km

Total distance = 100.8 km + 153.6 km = 254.4 km

Therefore, the boat traveled a total distance of 254.4 kilometers during this time.

Answer

The boat traveled a total distance of 254.4 kilometers during this time.

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