Question

Расстояние от пристани А до пристани В катер проплыл по течению реки за 6 ч А от пристани В до пристани А за 7,5 ч.Скорость течения реки 2 км/ч.Найдите собственную скорость катера Пжпжпжпжпжжпжпжппжжпжпж помоги те дам сразу 55 баллов

Answer 1

Ответ:

Пошаговое объяснение:

Пусть собственная  скорость катера - х км/ч, тогда скорость по течению  (х+2) км/ч, а против течения  (х-2) км/ч За 6 часов катер проплыл по течению реки 6(х+2) км, а против течения за 7,5 часов

7,5(х-2) км Составим уравнение:

6(х+2) = 7,5*(х-2)

6х + 12 = 7,5х - 15

7,5х - 6х=12+15

1,5х = 27

х =27 : 1,5

х = 18 км/ч собственная скорость катера

Answer 2

Calculating the Boat's Speed

To find the boat's speed, we can use the formula: speed = distance / time

The boat's speed is the sum of its own speed and the speed of the river's current. Let's denote the boat's speed as b and the speed of the river's current as c.

Given: - Time taken from A to B with the current: 6 hours - Time taken from B to A against the current: 7.5 hours - Speed of the river's current: 2 km/h

We can set up the following equations based on the given information:

1. b + c = distance / 6 (when going with the current) 2. b - c = distance / 7.5 (when going against the current)

We can solve these equations to find the boat's speed.

Solving the Equations

To solve the equations, we can use the method of substitution or addition. Let's use the method of addition to eliminate the variable c.

Adding the two equations: (b + c) + (b - c) = (distance / 6) + (distance / 7.5)

Simplifying: 2b = (5 * distance / 30) + (4 * distance / 30)

Solving for b: 2b = (9 * distance / 30) b = (9 * distance / 60)

Finding the Boat's Speed

We need the distance to find the boat's speed. Unfortunately, the distance is not provided in the given information. Without the distance, we cannot calculate the boat's speed accurately.

If you have the distance, please provide it, and I can help you calculate the boat's speed using the given information.