Вопрос задан 08.05.2019 в 17:53. Предмет Математика. Спрашивает Солиев Сослан.

Булат пустил свою игрушечную лодку в ручеёк.Игрушечная лодка плывя по течению преодолела расстояние

73 метра за 4 минуты.Если Булат пустит игрушечную моторную лодку с собственной скоростью 20 3/4 метра в минуту в тот же ручеёк то какова скорость у неё по течению
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Отвечает Иванов Герман.
скорость течения ручья 73/4=18 1/4 м/мин
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8,25 + 20,75 = 39 (м/мин).
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Отвечает Искаков Ислам.
Находим скорость течения: v = 73 / 4 = 18,25 (м/мин).
Скорость моторной лодки по течению будет 18,25 + 20,75 = 39 (м/мин).
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

In this problem, we are given that Bulat released his toy boat into a stream. The toy boat traveled a distance of 73 meters downstream in 4 minutes. We are then asked to determine the speed of a motorized toy boat if it were released into the same stream with a speed of 20 3/4 meters per minute.

Solution

To solve this problem, we can use the concept of relative velocity. The speed of the toy boat in still water is given as 20 3/4 meters per minute. Let's denote this speed as V.

The speed of the stream is the speed at which the water is flowing. Since the toy boat is traveling downstream, the speed of the stream is the same as the speed of the toy boat relative to the ground. Let's denote the speed of the stream as S.

The speed of the toy boat downstream is the sum of its speed in still water and the speed of the stream. Therefore, the speed of the toy boat downstream is V + S.

We are given that the toy boat traveled a distance of 73 meters downstream in 4 minutes. Therefore, the speed of the toy boat downstream can be calculated using the formula:

Speed = Distance / Time

Substituting the given values, we have:

V + S = 73 / 4

Now, we can solve this equation to find the value of S, which represents the speed of the stream.

Calculation

Let's calculate the value of S using the given equation:

V + S = 73 / 4

Substituting the value of V as 20 3/4 meters per minute:

20 3/4 + S = 73 / 4

Converting the mixed fraction to an improper fraction:

83/4 + S = 73 / 4

Subtracting 83/4 from both sides:

S = 73/4 - 83/4

Simplifying the right side of the equation:

S = -10/4

Simplifying the fraction:

S = -2.5

Therefore, the speed of the stream is -2.5 meters per minute.

Answer

The speed of the motorized toy boat downstream in the same stream would be the sum of its speed in still water and the speed of the stream. Since the speed of the stream is -2.5 meters per minute, the speed of the motorized toy boat downstream would be:

20 3/4 + (-2.5) = 18 1/4 meters per minute

So, the speed of the motorized toy boat downstream would be 18 1/4 meters per minute.

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