Question

Объясните мое решение задачи. Правильно. Катер плил по течению со скоростью 40 км/ч, а против течении 24 км/ч. Скорость катера одинакова. Найти скорость течения реки? 40 - 24 = 16 км/ч разница коростей по течению и против. 24 - 16 = 8 км/ч скорость течения реки.

Answer 1

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Answer 2

Problem Explanation

In this problem, we are given that a boat is traveling with a speed of 40 km/h in the direction of the current and with a speed of 24 km/h against the current. We need to find the speed of the river current.

Solution

To find the speed of the river current, we can use the concept of relative velocity. The speed of the boat with respect to the water is constant, while the speed of the current affects the overall speed of the boat.

Let's assume the speed of the river current is x km/h.

When the boat is traveling with the current, its effective speed is the sum of the boat's speed and the current's speed. So, the effective speed is 40 km/h + x km/h.

When the boat is traveling against the current, its effective speed is the difference between the boat's speed and the current's speed. So, the effective speed is 24 km/h - x km/h.

Since the boat's speed is the same in both cases, we can set up the following equation:

40 km/h + x km/h = 24 km/h - x km/h

Simplifying the equation, we get:

2x km/h = 16 km/h

Dividing both sides of the equation by 2, we find:

x km/h = 8 km/h

Therefore, the speed of the river current is 8 km/h.

Conclusion

The speed of the river current is 8 km/h. This can be calculated by setting up an equation using the boat's speed when traveling with and against the current and solving for the current's speed.