Question

Теплоход по течению реки прошел за 2 часа такое же расстояние , какое он проходит за 3 часа против течения реки. Найдите скорость течения реки , если известно, что собственная скорость теплохода равна 10 км/ч. Какое расстояние прошёл теплоход против течения реки?

Answer 1

Пусть скорость течения Х ( км/час )?Уравнение :
2•( 10 + x ) = 3•( 10 - x )
20 + 2x = 30 - 3x
5x = 10
x = 2 ( км/час ) скорость течения
3•( 10 - 2 ) = 24 ( км )
Ответ 24 км

Answer 2

Пусть скорость течения Х ( км/час )?Уравнение :
2•( 10 + x ) = 3•( 10 - x )
20 + 2x = 30 - 3x
5x = 10
x = 2 ( км/час ) скорость течения
3•( 10 - 2 ) = 24 ( км )
Ответ 24 км

Answer 3

Calculating River Current Speed and Distance Traveled Against the Current

To find the speed of the river current and the distance traveled by the boat against the current, we can use the following information:

- The boat travels the same distance in 2 hours with the current as it does in 3 hours against the current. - The boat's own speed is 10 km/h.

Let's calculate the speed of the river current and the distance traveled by the boat against the current.

Calculating River Current Speed:

To find the speed of the river current, we can use the formula: Boat's speed with the current = (Distance traveled with the current) / (Time taken with the current).

Using this formula, we can calculate the speed of the river current.

Boat's speed with the current = (Distance traveled with the current) / (Time taken with the current)

From the given information, we know that the boat travels the same distance in 2 hours with the current as it does in 3 hours against the current. Therefore, the boat's speed with the current is: Boat's speed with the current = (Distance traveled with the current) / 2 Boat's speed against the current = (Distance traveled against the current) / 3

We can use these equations to solve for the speed of the river current.

Calculating Distance Traveled Against the Current:

To find the distance traveled by the boat against the current, we can use the formula: Distance = Speed × Time.

Using this formula, we can calculate the distance traveled by the boat against the current.

Distance traveled against the current = Speed of the boat against the current × Time taken against the current

Let's proceed with the calculations.