Question

Расстояние в 24 км по озеру моторная лодка преодолевает за 3 часа прошел такое же расстояние по течению реки она преодолевает за 2 часа найдите скорость течения реки Запишите решение ответ

Answer 1

24 : 3 = 8(км/ч) - собственная скорость лодки24 : 2 = 12(км/ч) - скорость лодки по течению
12 - 8 = 4(км/ч) - скорость течения

Answer 2

Problem Analysis

We are given that a motorboat covers a distance of 24 km on a lake in 3 hours and the same distance downstream in a river in 2 hours. We need to find the speed of the river's current.

Solution

Let's assume the speed of the motorboat in still water is x km/h and the speed of the river's current is y km/h.

When the motorboat is traveling on the lake, it is moving against the current. So the effective speed of the motorboat is (x - y) km/h. We can use the formula `speed = distance / time` to calculate the effective speed on the lake.

Similarly, when the motorboat is traveling downstream in the river, it is moving with the current. So the effective speed of the motorboat is (x + y) km/h. Again, we can use the formula `speed = distance / time` to calculate the effective speed downstream.

We are given that the distance covered in both cases is the same, which is 24 km. So we can set up the following equations:

1. `(x - y) = 24 / 3` (equation 1) 2. `(x + y) = 24 / 2` (equation 2)

We can solve these equations simultaneously to find the values of x and y.

Let's solve the equations:

From equation 1, we have: (x - y) = 8 (equation 3)

From equation 2, we have: (x + y) = 12 (equation 4)

Now, let's add equation 3 and equation 4: (x - y) + (x + y) = 8 + 12 Simplifying, we get: 2x = 20 Dividing both sides by 2, we get: x = 10

Now, let's substitute the value of x into equation 4 to find the value of y: (10 + y) = 12 Simplifying, we get: y = 2

Therefore, the speed of the river's current is 2 km/h.

Answer

The speed of the river's current is 2 km/h.