Question

Катер прошел 120 км против течения реки и возвратилась назад, затратив на обратный путь на 1 час меньше найдите скорость течения если собственная скорость катера равна 22 км в час

Answer 1

120: 22, эт не точ(я не понимаю такие задачки) :(

Answer 2

Problem Analysis

We are given that a boat traveled 120 km against the current of a river and then returned back, spending 1 hour less on the return journey. We need to find the speed of the current if the boat's own speed is 22 km/h.

Solution

Let's assume the speed of the current is x km/h.

When the boat is traveling against the current, its effective speed is the difference between its own speed and the speed of the current. So, the effective speed is (22 - x) km/h.

When the boat is traveling with the current, its effective speed is the sum of its own speed and the speed of the current. So, the effective speed is (22 + x) km/h.

We are given that the boat took 1 hour less on the return journey. This means that the time taken for the return journey is 1 hour less than the time taken for the journey against the current.

Let's calculate the time taken for each journey:

- Time taken for the journey against the current: 120 km / (22 - x) km/h - Time taken for the return journey: 120 km / (22 + x) km/h

According to the given information, the time taken for the return journey is 1 hour less than the time taken for the journey against the current. So, we can write the equation:

120 / (22 - x) = 120 / (22 + x) - 1

Now, let's solve this equation to find the value of x.

Calculation

To solve the equation, we can cross-multiply and simplify:

120(22 + x) = 120(22 - x) - (22 - x)

Simplifying further:

2640 + 120x = 2640 - 120x + x

Combining like terms:

240x = x

Dividing both sides by 240:

x = 1

Answer

The speed of the current is 1 km/h.

Verification

Let's verify our answer by substituting the value of x into the equation:

120 / (22 - 1) = 120 / (22 + 1) - 1

Simplifying:

120 / 21 = 120 / 23 - 1

Calculating:

5.714 = 5.217 - 1

5.714 = 4.217

The equation is not balanced, which means our initial assumption that the speed of the current is 1 km/h is incorrect.

Since we couldn't find a verified answer using the given information, we may need additional information or clarification to solve the problem accurately.