Question

Моторный човен проплыв 8км за течиею ричкы и повернулся назад вытратывшы на весьшлях 54хв.Знайдить швыдкисть течии якщо власна швыдкисть човна доривнюе 18км/год

Answer 1

Х скорость течения
18+х скорость по течению
18-х против течения
8/(18+х)+8/(18-х)=0,9      (54мин=0,9 часа)
144-8х+144+8х=291,6-0,9х²
0,9х²-3,6=0
х²=4
х=2км/час

Answer 2

Problem Analysis

We are given the following information: - A motorboat traveled a distance of 8 km downstream (with the current) and then turned back, covering the entire distance in 54 minutes. - The boat's own speed is 18 km/h.

We need to find the speed of the current.

Solution

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

When the boat is traveling downstream (with the current), its effective speed is the sum of its own speed and the speed of the current. Therefore, the boat's speed downstream is 18 + x km/h.

When the boat is traveling upstream (against the current), its effective speed is the difference between its own speed and the speed of the current. Therefore, the boat's speed upstream is 18 - x km/h.

We are given that the boat traveled a distance of 8 km downstream and then turned back, covering the entire distance in 54 minutes. This means that the time taken to travel downstream is equal to the time taken to travel upstream.

Using the formula distance = speed × time, we can set up the following equation:

8 km = (18 + x) km/h × t + (18 - x) km/h × t

Simplifying the equation, we get:

8 = (18 + x) t + (18 - x) t

Since the boat covered the entire distance in 54 minutes, we can convert this to hours by dividing by 60:

54 minutes = 54/60 hours = 0.9 hours

Substituting this value into the equation, we have:

8 = (18 + x) × 0.9 + (18 - x) × 0.9

Simplifying further:

8 = 16.2 + 0.9x + 16.2 - 0.9x

Combining like terms:

8 = 32.4

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution for the given problem.

Conclusion

Based on the given information, it is not possible to determine the speed of the current. The equation derived from the problem leads to a contradiction, indicating that the problem is not solvable.