Question

Прогулочный теплоход по течению реки проплывает 12 км за такое же время, что и 10 км против течения. найдите скорость течения реки, если собственная скорость теплохода 22км/ч.

Answer 1

Problem Analysis

To find the speed of the river current, we can use the formula:

Speed of the boat in still water = Speed of the current + Speed of the boat against the current

Let's denote the speed of the current as x.

Given: - Speed of the boat in still water = 22 km/h - Distance traveled downstream (with the current) = 12 km - Distance traveled upstream (against the current) = 10 km

Using the formula, we can set up the following equations:

22 = x + Speed of the boat against the current (Equation 1) 22 = x + Speed of the boat with the current (Equation 2)

We need to solve these equations to find the value of x.

Solving the Equations

To solve the equations, we can use a system of equations solver or solve them manually.

Substituting the given values into the equations, we get:

22 = x + Speed of the boat against the current (Equation 1) 22 = x + Speed of the boat with the current (Equation 2)

Substituting the given values into the equations, we get:

22 = x + (22 - x) (Equation 1) 22 = x + (22 + x) (Equation 2)

Simplifying the equations:

22 = 22 22 = 22

Since both equations are the same, this means that the value of x can be any number. In other words, the speed of the river current can be any value.

Therefore, we cannot determine the exact speed of the river current based on the given information.

Conclusion

Based on the given information, we cannot determine the exact speed of the river current. The speed of the river current can be any value.