Question

Лодка проплывает по течению реки 24 км за 3 ч.Скорость лодки против течения реки 2 км/ч. найдите скорость течения реки и собственную скорость реки

Answer 1

1) 24:3=8 км\час - скорость лодки по течению реки
2) (8-2):2=3 км\час - скорость течения реки
3) 2+3=5 км\час - собственная скорость лодкиответ: 3 км\час, 5 км\час

Answer 2

Calculation of River Current Speed and Boat's Speed

To find the speed of the river current and the boat's own speed, we can use the given information that the boat travels 24 km downstream in 3 hours and its speed against the current is 2 km/h.

Let's denote the speed of the river current as V and the boat's own speed as B.

1. When the boat is traveling downstream (with the current), its effective speed is the sum of its own speed and the speed of the current. So, the boat's effective speed downstream is B + V. 2. When the boat is traveling upstream (against the current), its effective speed is the difference between its own speed and the speed of the current. So, the boat's effective speed upstream is B - V.

Given that the boat travels 24 km downstream in 3 hours, we can set up the following equation:

24 km = (B + V) km/h * 3 h Simplifying the equation, we get:

8 = B + V We also know that the speed of the boat against the current is 2 km/h. So, we can set up another equation:

2 km/h = (B - V) km/h Simplifying the equation, we get:

2 = B - V Now, we have a system of equations:

8 = B + V 2 = B - V We can solve this system of equations to find the values of V and B.

Solving the System of Equations

To solve the system of equations, we can use the method of substitution. We can rearrange equation to solve for B in terms of V:

B = V + 2 (rearranging equation

Substituting this value of B into equation we get:

8 = (V + 2) + V

Simplifying the equation, we get:

8 = 2V + 2

Subtracting 2 from both sides of the equation, we get:

6 = 2V

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

V = 3

Now that we have the value of V, we can substitute it back into equation to find the value of B:

2 = B - 3

Adding 3 to both sides of the equation, we get:

B = 5

Therefore, the speed of the river current is 3 km/h and the boat's own speed is 5 km/h.

Answer

The speed of the river current is 3 km/h and the boat's own speed is 5 km/h.