Question

Составьте по условию задачи уравнение обозначив буквой х собственную скорость катера. за 6 часов по озеру и 3 часа вверх по течению реки катер проходит 153 км. Найдите собственную скорость катера если скорость течения реки 3км\ч И решите её пожалуйста

Answer 1

Хкм/ч собственная скорость,х-3км/ч-скорость против течения
6х+3(х-3)=153
6х+3х-9=153
9х=153+9
9х=162
х=162:9
х=18км/ч

Answer 2

Task Analysis

To solve this problem, we need to create an equation representing the boat's speed and then solve for the boat's speed. We are given the time it takes for the boat to travel on the lake and against the river's current, as well as the total distance traveled.

Formulating the Equation

Let's denote the boat's speed as x and the river's current speed as 3 km/h. The boat's speed is used to calculate the distance traveled on the lake and against the river's current. We can use the formula: - Distance = Speed * Time

Solving the Equation

We will then solve the equation to find the boat's speed.

Equation and Solution

The equation and solution will be presented in the following sections.

Equation

The equation representing the boat's speed and the given conditions is: 153 = 6x + 3(x - 3)

Solving the Equation

Let's solve for x: 153 = 6x + 3x - 9 153 = 9x - 9 153 + 9 = 9x 162 = 9x x = 18

Answer

The boat's speed is 18 km/h.