Question

Решение текстовых задач с помощью уравнений. Урок 4 Катер двигался 2 часа против течения реки, 1 час по течению реки, 2 часа – по озеру, и всего проплыл 103,2 км. Если скорость реки равна 1,8 км/ч, то найди собственную скорость катера. 1) Заполни таблицу по условию задачи. v (км/ч) t (9) / ч S= vt (км) Против течени Я І – (х – ) По I+ течени X + ю T KM По T озеру 2) Составь уравнение по условию задачи и реши его. (І- ) + + + 3) Собственная скорость катера равна км/ч, РЕШИТЕ ПЛИС ЭТО ОНЛАЙН МЕКТЕП​

Answer 1

Ответ:

Объяснение:

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Answer 2

Solving the Problem Using Equations

To solve the problem of finding the boat's speed, we can use the given information about the boat's movement against and with the river's current, as well as its movement across the lake.

Filling in the Table

We can start by filling in the table based on the given conditions:

| Type of Motion | Speed (v) (km/h) | Time (t) (h) | Distance (S = vt) (km) | |----------------|------------------|--------------|------------------------| | Against current| ? | 2 | ? | | With current | ? | 1 | ? | | Across lake | ? | 2 | ? |

Formulating the Equation

We can then formulate the equation based on the given conditions and solve for the boat's speed. Let's denote the boat's speed as v and the river's speed as 1.8 km/h.

The boat's speed against the current can be represented as (v - 1.8), and with the current as (v + 1.8).

The total distance traveled by the boat is 103.2 km.

Using the formula distance = speed × time, we can set up the equation: (v - 1.8) × 2 + (v + 1.8) × 1 + v × 2 = 103.2

Solving the Equation

By solving the equation, we can find the boat's speed.

Let's solve the equation: (v - 1.8) × 2 + (v + 1.8) × 1 + v × 2 = 103.2

After solving the equation, we find that the boat's speed is v = 22.2 km/h.

So, the boat's speed is 22.2 km/h.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.