Question

Как решить задачу: скорость течение реки равна 2,9 км/ч а скорость катера против течения - 26,4 км/ч найдите собственную скорость катера и его скорость по течению

Answer 1

26,4+2,9=29,3 (км\час) собственная скорость катера
29,3+2,9=32,2 (км\час) скорость катера по течению
Ответ: 29,3 км\час,32,2  км\час.

Answer 2

Problem Analysis

To solve this problem, we need to find the speed of the boat in still water (its own speed) and its speed relative to the current. We are given the speed of the current (2.9 km/h) and the speed of the boat against the current (26.4 km/h).

Solution

Let's assume the speed of the boat in still water is x km/h, and the speed of the boat relative to the current is y km/h.

To find the boat's own speed, we can use the formula: x = (y + 2.9).

To find the boat's speed relative to the current, we can use the formula: x - 2.9 = y - 26.4.

Now we have a system of equations with two variables (x and y). We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Let's solve the system of equations using the substitution method.

From equation 1, we have: x = y + 2.9.

Substituting this value of x into equation 2, we get: (y + 2.9) - 2.9 = y - 26.4.

Simplifying the equation, we have: y + 2.9 - 2.9 = y - 26.4.

Simplifying further, we get: y = y - 26.4.

This equation is not possible, as it implies that 0 = -26.4, which is not true. Therefore, there is no solution to this system of equations.

Conclusion

Based on the given information, there is no solution to this problem. The system of equations does not have a valid solution for the boat's own speed and its speed relative to the current.

Please let me know if there is anything else I can help you with.