Question

Отношения отношения собственности скорости лодки и скорость течения реки равна 4 к одному скоростт течения реки на 6,9 км в час меньше собственной скорости лодки какле растояние проплывет лодка за 2 часа двигаясь против течения реки

Answer 1

Решение:
Обозначим скорость течения реки за (х) км/час, тогда согласно условия задачи, скорость лодки равна 4*х=4х (км/час) и кроме того также согласно условия задачи, скорость лодки больше скорости реки на 6,9км/час или:
4х-х=6,9 (км/час)  - решим это уравнение
3х=6,9
х=6,9:3=2,3  - скорость течения реки равна 2,3км/час
Скорость лодки равна 4х или 4*2,3=9,2км/час)
Двигаясь против течения реки лодка проплывёт за 2 часа расстояние:
(9,2-2,3)*2=6,9*2=13,8 (км)

Ответ: Лодка проплывёт расстояние 13,8км

Answer 2

Relationship between Boat Speed and River Current Speed

The relationship between the speed of a boat and the speed of the river current can affect the distance the boat travels in a given time. In this case, the boat is moving against the current of the river.

According to the information provided, the speed of the river current is 6.9 km/h less than the speed of the boat. Let's denote the speed of the boat as B and the speed of the river current as C.

Given that the ratio of the boat speed to the river current speed is 4 to 1, we can set up the following equation:

B/C = 4/1

We also know that the speed of the river current is 6.9 km/h less than the speed of the boat:

C = B - 6.9

Calculating the Distance Traveled by the Boat

To calculate the distance the boat will travel in 2 hours while moving against the current of the river, we need to consider the relative speeds of the boat and the river current.

When the boat is moving against the current, its effective speed is the difference between the boat speed and the current speed:

Effective speed = Boat speed - Current speed

In this case, the effective speed of the boat is:

Effective speed = B - C

Substituting the value of C from the equation above, we get:

Effective speed = B - (B - 6.9) = 6.9

Therefore, the effective speed of the boat is 6.9 km/h.

To calculate the distance traveled by the boat in 2 hours, we can use the formula:

Distance = Speed x Time

Substituting the values, we have:

Distance = 6.9 km/h x 2 hours = 13.8 km

Therefore, the boat will travel a distance of 13.8 kilometers in 2 hours while moving against the current of the river.

Please note that the calculations provided are based on the information given and the assumptions made.