Question

Катер проплыл по течению за 2,4 часа расстояние 55 1/5км .Скорость течения реки2,5 км/ч.Найди собственную скорость катера

Answer 1

1)55,2:2,4=23км/ч скорость катера по течению
2)23-2,5=20,5км/ч собственная скорость катера

Answer 2

Problem Analysis

We are given the following information: - The boat traveled a distance of 55 1/5 km. - The boat traveled this distance in 2.4 hours. - The speed of the river current is 2.5 km/h.

We need to find the speed of the boat.

Solution

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

The boat is traveling against the current of the river, so its effective speed will be the difference between its own speed and the speed of the current.

The boat's effective speed can be calculated using the formula:

Effective Speed = Boat's Speed - Speed of the Current

We can set up the following equation using the given information:

55 1/5 = (x - 2.5) * 2.4

Now, let's solve this equation to find the speed of the boat.

Calculation

To solve the equation, we can start by simplifying the equation:

55 1/5 = 2.4x - 6

Next, let's add 6 to both sides of the equation:

55 1/5 + 6 = 2.4x

Simplifying further:

61 1/5 = 2.4x

Now, let's divide both sides of the equation by 2.4 to isolate x:

x = (61 1/5) / 2.4

To calculate this, we can convert the mixed fraction to an improper fraction:

x = (306/5) / (12/5)

Dividing the fractions:

x = (306/5) * (5/12)

Canceling out the common factors:

x = 306/12

Simplifying the fraction:

x = 25.5

Answer

The speed of the boat is 25.5 km/h.

Please let me know if I can help you with anything else.