Question

Катер плывет по течению реки со скоростью 28 км/ч. найдите скорость течения реки, если известно, что скорость катера против течения составляет 22 км/ч.

Answer 1

22-(28-22)=16 км/ч скорость против течения реки

Answer 2

Finding the Speed of the River Current

To find the speed of the river current, we can use the information provided about the speed of the boat both with and against the current.

Given: - Speed of the boat downstream (with the current): 28 km/h - Speed of the boat upstream (against the current): 22 km/h

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

When the boat is moving downstream, the effective speed is the sum of the boat's speed and the speed of the current. Therefore, we can write the equation:

Boat's speed downstream = Boat's speed + Speed of the current

Substituting the given values: 28 km/h = Boat's speed + x km/h

Similarly, when the boat is moving upstream, the effective speed is the difference between the boat's speed and the speed of the current. Therefore, we can write the equation:

Boat's speed upstream = Boat's speed - Speed of the current

Substituting the given values: 22 km/h = Boat's speed - x km/h

Now we have a system of two equations with two unknowns. We can solve this system to find the speed of the river current.

Let's solve the system of equations:

Equation 1: 28 km/h = Boat's speed + x km/h Equation 2: 22 km/h = Boat's speed - x km/h

Adding Equation 1 and Equation 2, we get: 28 km/h + 22 km/h = (Boat's speed + x km/h) + (Boat's speed - x km/h)

Simplifying the equation: 50 km/h = 2 * Boat's speed

Dividing both sides by 2: Boat's speed = 25 km/h

Now we can substitute the value of Boat's speed into either Equation 1 or Equation 2 to find the speed of the river current.

Using Equation 1: 28 km/h = 25 km/h + x km/h

Simplifying the equation: 3 km/h = x km/h

Therefore, the speed of the river current is 3 km/h.

Please note that the above calculations are based on the given information and assumptions made.