Question

Моторний човен за один і той самий час може проплисти 48км за течією річки або 36км проти течії.Яка власна швидкість човна якщо швидкісь течії встановит 2км/год?

Answer 1

Гвыы1:478пртаоопололддлллллдд

Answer 2

Calculation of the Boat's Speed

To calculate the boat's speed, we need to consider the speed of the current and the boat's speed relative to the water. Let's denote the boat's speed as B and the speed of the current as C.

Given the information provided, we know that the boat can travel 48 km downstream (with the current) and 36 km upstream (against the current) in the same amount of time.

When the boat is traveling downstream, its effective speed is the sum of its own speed and the speed of the current. Therefore, the boat's speed relative to the water is B + C.

When the boat is traveling upstream, its effective speed is the difference between its own speed and the speed of the current. Therefore, the boat's speed relative to the water is B - C.

Since the boat covers 48 km downstream and 36 km upstream in the same amount of time, we can set up the following equation:

48 / (B + C) = 36 / (B - C)

To find the boat's speed, we can solve this equation.

Solving the Equation

Let's solve the equation step by step:

1. Multiply both sides of the equation by (B + C) and (B - C) to eliminate the denominators:

48(B - C) = 36(B + C)

2. Expand the equation:

48B - 48C = 36B + 36C

3. Rearrange the terms:

48B - 36B = 36C + 48C

12B = 84C

4. Divide both sides of the equation by 12C:

B = 7C

Calculation of the Boat's Speed

Now that we have the relationship between the boat's speed and the speed of the current, we can substitute the given value of the current's speed (C = 2 km/h) into the equation to find the boat's speed (B).

B = 7C

B = 7 * 2

B = 14 km/h

Therefore, the boat's speed is 14 km/h.

Please note that this calculation assumes that the boat's speed remains constant throughout the journey and that there are no other factors affecting the boat's speed.