Question

За 2 часа движения вниз по реке и за 6 часов по озеру катер проходит за 158 км Найдите скорость течения реки если собственная скорость катера 19 км ч

Answer 1

1)
х-скорость течения
2(19+х)+6*19=158
38+2х+114=158
2х+152=158
2х=158-152
2х=6
х=6/2=3 км/ч

Answer 2

Calculating the River's Current Speed

To find the speed of the river's current, we can use the formula: Speed = Distance/Time

Given: - Boat's speed in still water = 19 km/h - Time taken to travel downstream (river) = 2 hours - Time taken to travel across the lake = 6 hours - Total distance traveled = 158 km

Calculating Downstream Speed

The boat's speed when traveling downstream is the sum of its own speed and the speed of the river's current. Therefore, the speed when traveling downstream is: Boat's speed + River's speed = Downstream speed

Using the given values: 19 km/h + River's speed = Distance/Time 19 km/h + River's speed = 158 km/2 hours

Calculating Upstream Speed

The boat's speed when traveling upstream is the difference between its own speed and the speed of the river's current. Therefore, the speed when traveling upstream is: Boat's speed - River's speed = Upstream speed

Using the given values: 19 km/h - River's speed = Distance/Time 19 km/h - River's speed = 158 km/6 hours

Solving for River's Speed

We can solve the above two equations to find the speed of the river's current.

Let's calculate the downstream speed and upstream speed using the given information and then solve for the river's speed.