Question

Швидкість катера за течією ріки 20 цілих 1/3 км/год, а проти течії — 10 цілих 1/3 км год. Знайди: А) швидкість течії ріки. Б) власну швидкість катера. В) шлях катера за 3/23 год озером РЕШИТЕ ПОЖАЛУЙСТА ОЧЕНЬ СРОЧНО НАДО​

Answer 1

Ответ:

ответ ниже

Пошаговое объяснение:

а) $(20\frac{1}{3}-10\frac{1}{3}):2=10:2=5$ км/ч скорость течения реки

б) $20\frac{1}{3}-5=15\frac{1}{3}$ км/ч собственная скорость катера

или

10\frac{1}{3}+5=15\frac{1}{3}  

в) $15\frac{1}{3}*\frac{3}{23}=\frac{46*3}{3*23}=2$ км

Answer 2

Calculation of River Current Speed, Boat Speed, and Boat Distance

To find the required values, let's denote the river current speed as C and the boat speed as B.

Given: - Speed of the boat downstream (with the current) = 20 1/3 km/h - Speed of the boat upstream (against the current) = 10 1/3 km/h

We can set up the following equations:

1. Speed of the boat downstream: - B + C = 20 1/3 km/h

2. Speed of the boat upstream: - B - C = 10 1/3 km/h

To solve these equations, we can add them together:

(B + C) + (B - C) = (20 1/3) + (10 1/3)

Simplifying the equation:

2B = 30 2/3

Dividing both sides by 2:

B = 15 1/3 km/h

Now that we have the boat speed, we can substitute it back into one of the original equations to find the river current speed.

Using the equation B + C = 20 1/3 km/h:

(15 1/3) + C = 20 1/3

Subtracting 15 1/3 from both sides:

C = 5 km/h

Results:

A) The speed of the river current is 5 km/h. B) The speed of the boat is 15 1/3 km/h. C) To find the boat's distance traveled in 3/23 hours, we can use the formula:

Distance = Speed × Time

Distance = (15 1/3 km/h) × (3/23 hours)

Simplifying the calculation:

Distance = (46/3) km × (3/23)

Distance = 2 km

Therefore, the boat's distance traveled in 3/23 hours is 2 km.

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Answer 3

Calculation of River Current Speed, Boat Speed, and Boat Distance

To find the answers to the given questions, let's break down the information provided:

- Speed of the boat downstream (with the current): 20 1/3 km/h - Speed of the boat upstream (against the current): 10 1/3 km/h

We need to find: A) The speed of the river current B) The speed of the boat in still water C) The distance covered by the boat in 3/23 hours on a lake

Let's solve each part step by step.

A) Speed of the River Current

To find the speed of the river current, we can use the concept of relative velocity. When the boat is moving downstream, the speed of the current adds to the speed of the boat. Conversely, when the boat is moving upstream, the speed of the current subtracts from the speed of the boat.

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

When the boat is moving downstream, the effective speed is the sum of the boat's speed and the current's speed: Boat speed downstream = Boat speed + Current speed

Given that the boat speed downstream is 20 1/3 km/h, we can set up the equation: 20 1/3 = Boat speed + x

Similarly, when the boat is moving upstream, the effective speed is the difference between the boat's speed and the current's speed: Boat speed upstream = Boat speed - Current speed

Given that the boat speed upstream is 10 1/3 km/h, we can set up the equation: 10 1/3 = Boat speed - x

Now we have a system of two equations with two unknowns. We can solve this system to find the speed of the river current.

Adding the two equations together, we get: 20 1/3 + 10 1/3 = Boat speed + x + Boat speed - x

Simplifying the equation: 30 2/3 = 2 * Boat speed

Dividing both sides by 2: Boat speed = 30 2/3 / 2

Calculating the boat speed: Boat speed = 15 1/3 km/h

Now that we know the boat speed, we can substitute it back into one of the original equations to find the speed of the river current.

Using the equation 20 1/3 = Boat speed + x: 20 1/3 = 15 1/3 + x

Subtracting 15 1/3 from both sides: 5 = x

Therefore, the speed of the river current is 5 km/h.

B) Speed of the Boat in Still Water

The speed of the boat in still water is the average of the boat's speed downstream and upstream. We have already calculated the boat speed downstream as 20 1/3 km/h and the boat speed upstream as 10 1/3 km/h.

To find the speed of the boat in still water, we can take the average: Boat speed in still water = (Boat speed downstream + Boat speed upstream) / 2

Substituting the values: Boat speed in still water = (20 1/3 + 10 1/3) / 2

Calculating the boat speed in still water: Boat speed in still water = 30 2/3 / 2

Therefore, the speed of the boat in still water is 15 1/3 km/h.

C) Distance Covered by the Boat in 3/23 Hours on a Lake

To find the distance covered by the boat in 3/23 hours on a lake, we can use the formula:

Distance = Speed * Time

Given that the time is 3/23 hours, and the boat is on a lake with no current, the speed of the boat will be the speed in still water, which we calculated as 15 1/3 km/h.

Substituting the values into the formula: Distance = 15 1/3 km/h * 3/23 h

Calculating the distance covered by the boat: Distance = (46/3) * (3/23) km

Simplifying the calculation: Distance = 46/23 km

Therefore, the distance covered by the boat in 3/23 hours on a lake is 2 km.

In summary: A) The speed of the river current is 5 km/h. B) The speed of the boat in still water is 15 1/3 km/h. C) The distance covered by the boat in 3/23 hours on a lake is 2 km.

Please note that these calculations are based on the information provided.