Question

Скорость лодки по течению реки 10км/ч, а против течения реки 6км/ч. Найдите собственную скорость лодки Найдите скорость течения реки

Answer 1

x-скорость лодки

у-скорость течения реки

система уравнений

х+у=10 х+х-6=10, 2х=16, х=8

х-у=6 у=х-6

х=8 скорость лодки

Answer 2

Calculation of Boat's Speed and River's Current Speed

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

Let's assume the boat's speed is represented by x km/h, and the river's current speed is represented by y km/h.

1. When the boat is moving with the current of the river, its effective speed is the sum of the boat's speed and the river's current speed: - x + y = 10 km/h.

2. When the boat is moving against the current of the river, its effective speed is the difference between the boat's speed and the river's current speed: - x - y = 6 km/h.

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

Solving the Equations

To solve the equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Adding the two equations together, we get: (x + y) + (x - y) = 10 + 6 2x = 16 x = 8 km/h

Substituting the value of x into one of the original equations, we can find the value of y: 8 + y = 10 y = 2 km/h

Answer

Therefore, the boat's speed is 8 km/h and the river's current speed is 2 km/h.

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