Question

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

Answer 1

Х - Собственная скорость лодки

у- скорость течения реки.

х+у=10

х-у=6

 

 

2х=16

х=16/2

х=8

8+у=10

у=10-8

у=2

Answer 2

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

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

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

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

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

To solve these equations, we can use the method of substitution or elimination.

Solving the Equations

Let's solve the equations using the method of substitution:

From equation 1, we have x + y = 10. From equation 2, we have x - y = 6.

Adding equation 1 and equation 2, we get: (x + y) + (x - y) = 10 + 6. Simplifying, we have: 2x = 16.

Dividing both sides of the equation by 2, we find: x = 8.

Substituting the value of x back into equation 1, we have: 8 + y = 10. Simplifying, we find: y = 2.

Answer

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

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