Question

плод за 2 часа по озеру и за 3 часа против течения реки проплывает такое же расстояние Что за 2,5 часа по течению реки Найдите собственную скорость т если скорость течения реки равна 0 6 км​

Answer 1

Ответ:

пусть собственная скорость плота х км/час

тогда путь по озеру 2х км

скорость против течения (х-0,6) км/час

путь против течения 3(х-0,6) км

скорость по течению (х+0,6) км/час

путь по течению 2,5(х+0,6)км

теперь уравнение по условию

за 2 часа по озеру и за 3 часа против течения реки проплывает такое же расстояние, что за 2,5 ч по течению реки.

2х + 3(х-0,6) = 2,5(х+0,6)

5х - 1,8 = 2,5х + 1,5

2,5х = 3,3

х = 1,32 (км/час)

ответ

собственная скорость плота 1,32 км/час

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given that a fruit can travel the same distance in 2 hours across a lake and in 3 hours against the current of a river. We need to find the speed of the fruit in still water, given that the speed of the river's current is 0.6 km/h.

Solution

Let's assume the speed of the fruit in still water is v km/h.

When the fruit is traveling across the lake, it is not affected by the current of the river. Therefore, the effective speed of the fruit is equal to its speed in still water, which is v km/h. The time taken to travel the distance across the lake is 2 hours.

When the fruit is traveling against the current of the river, the effective speed of the fruit is reduced by the speed of the current. Therefore, the effective speed is v - 0.6 km/h. The time taken to travel the same distance against the current is 3 hours.

We can set up the following equation based on the distance traveled:

Distance = Speed x Time

For the first scenario (traveling across the lake): Distance = v x 2

For the second scenario (traveling against the current): Distance = (v - 0.6) x 3

Since the distance traveled is the same in both scenarios, we can equate the two equations:

v x 2 = (v - 0.6) x 3

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

Calculation

Expanding the equation: 2v = 3v - 1.8

Simplifying the equation: v = 1.8

Answer

The speed of the fruit in still water, denoted by v, is 1.8 km/h.