Question

Собственная скорость парохода в 8раз больше течения реки найти собственную скорость парохода и скорость течения реки если двигаясь по течению реки он за 4часа прошел 108 км

Answer 1

V1 - пароход а скорость
v2 - скорость течения
v1/v2 = 8
108 = (v1+v2)*4 = (8v2+v2)*4
36v2 = 108
v2 = 3 км/ч
v1 = 3*8 = 24 км/ч
Ответ 24 км/ч и 3 км/ч

Answer 2

Problem Analysis

We are given that the speed of a steamboat is 8 times greater than the speed of the river's current. We need to find the speed of the steamboat and the speed of the river's current, given that the steamboat traveled 108 km in 4 hours while moving with the current of the river.

Solution

Let's assume the speed of the river's current is x km/h. Since the speed of the steamboat is 8 times greater than the speed of the river's current, the speed of the steamboat can be represented as 8x km/h.

When the steamboat is moving with the current of the river, the effective speed is the sum of the speed of the steamboat and the speed of the river's current. Therefore, the effective speed is 8x + x = 9x km/h.

We are given that the steamboat traveled 108 km in 4 hours while moving with the current of the river. Using the formula distance = speed × time, we can set up the equation:

108 = 9x × 4

Simplifying the equation, we have:

432 = 9x

Dividing both sides of the equation by 9, we find:

x = 48

Therefore, the speed of the river's current is 48 km/h. Since the speed of the steamboat is 8 times greater than the speed of the river's current, the speed of the steamboat is:

8 × 48 = 384 km/h

So, the speed of the steamboat is 384 km/h and the speed of the river's current is 48 km/h.

Answer

The speed of the steamboat is 384 km/h and the speed of the river's current is 48 km/h.