Question

Расстояние от пристани А до пристани В катер проплыл за 6ч,а от пристани В до пристани А- за 7.5ч. Скорость течения реки 2км/ч.Найдите собственную скорость катера.

Answer 1

Нужно 6:2=3,если это не подходит то нужно умножить,мы тоже решали такую задачу,но я уже точно не помню

Answer 2

Пусть x - собственная скорость катера, тогда x-2 - скорость катера против течения, а x+2 - скорость катера по течению. Составим уравнение:
7,5(x-2)=6(x+2)
7,5x-15=6x+12
1,5x=27
x=18(км/ч)
Ответ: 18 км/ч соб. скорость катера

Answer 3

Problem Analysis

We are given the following information: - The boat traveled from port A to port B in 6 hours. - The boat traveled from port B to port A in 7.5 hours. - The speed of the river current is 2 km/h.

We need to find the speed of the boat.

Let's assume the speed of the boat is x km/h.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's calculate the distances traveled by the boat in each direction.

The distance from port A to port B is given by: distance_AB = (x + 2) × 6.

The distance from port B to port A is given by: distance_BA = (x - 2) × 7.5.

Since the distances traveled in both directions are the same, we can set up the following equation:

(x + 2) × 6 = (x - 2) × 7.5.

Let's solve this equation to find the value of x.

Expanding the equation, we get: 6x + 12 = 7.5x - 15.

Rearranging the equation, we get: 7.5x - 6x = 12 + 15.

Simplifying the equation, we get: 1.5x = 27.

Dividing both sides of the equation by 1.5, we get: x = 18.

Therefore, the speed of the boat is 18 km/h.

Answer

The speed of the boat is 18 km/h.

Explanation

The boat traveled from port A to port B in 6 hours, covering a distance of (18 + 2) × 6 = 120 km. The boat traveled from port B to port A in 7.5 hours, covering the same distance of 120 km. The speed of the river current is 2 km/h. Therefore, the speed of the boat is 18 km/h.