Question

Скорость катера по течению реки равна 20,4 км/ч, а против течения 18,2 км/ч. Чему равна собственая скорость катера? Чему равна скорость течения реки

Answer 1

(20,4 - 18,2)/2 = 1,1 км/ч - скорость течения реки
20,4 - 1,1 = 19,3 км/ч - собственная скорость катера

Answer 2

Calculation of the Boat's Speed and River Current

To determine the boat's speed and the river current, we can use the following equations:

1. The boat's speed downstream (with the current) can be calculated by adding the boat's speed to the speed of the river current: boat's speed downstream = boat's speed + river current speed. 2. The boat's speed upstream (against the current) can be calculated by subtracting the speed of the river current from the boat's speed: boat's speed upstream = boat's speed - river current speed.

Given the information provided, we know that the boat's speed downstream is 20.4 km/h and the boat's speed upstream is 18.2 km/h.

Calculation of the Boat's Speed

To find the boat's own speed, we can use the equations mentioned above. By solving the equations simultaneously, we can determine the boat's speed and the river current speed.

Let's denote the boat's speed as V and the river current speed as C.

1. Boat's speed downstream: V + C = 20.4 km/h. 2. Boat's speed upstream: V - C = 18.2 km/h.

To solve these equations, we can add them together:

(V + C) + (V - C) = 20.4 + 18.2

Simplifying the equation:

2V = 38.6

Dividing both sides by 2:

V = 19.3 km/h

Therefore, the boat's own speed is 19.3 km/h.

Calculation of the River Current Speed

To find the river current speed, we can substitute the boat's own speed into one of the original equations. Let's use the equation for the boat's speed downstream:

V + C = 20.4 km/h

Substituting the value of V (19.3 km/h):

19.3 + C = 20.4

Simplifying the equation:

C = 20.4 - 19.3

C = 1.1 km/h

Therefore, the river current speed is 1.1 km/h.

To summarize: - The boat's own speed is 19.3 km/h. - The river current speed is 1.1 km/h.

Please note that these calculations are based on the information provided and assume that the boat's speed remains constant throughout the journey.