Question

Лодка по течению шла 2 часа, по озеру - 2 часа. Найдите скорость течении, если собственная скорость лодки 11км/ч, а весь путь равен 50 км

Answer 1

Решение:
1) 11*2=22 (км) - Озеро
2) 50-22=28(км) - Река
3) 28:2=14 (км/ч) - Скорость реки и лодки
4) 14-11=3 (км/ч) - скорость реки
Ответ: скорость реки 3 км/ч

Answer 2

Problem Analysis

We are given the following information: - The boat traveled downstream for 2 hours. - The boat traveled on the lake for 2 hours. - The boat's own speed is 11 km/h. - The total distance traveled is 50 km.

We need to find the speed of the current.

Solution

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

To find the speed of the current, we can use the formula:

Speed = Distance / Time

We can break down the problem into two parts: the downstream journey and the journey on the lake.

# Downstream Journey

During the downstream journey, the boat's speed is the sum of its own speed and the speed of the current. So, the effective speed of the boat during the downstream journey is (11 + x) km/h.

The distance traveled during the downstream journey is (11 + x) km/h * 2 hours.

# Journey on the Lake

During the journey on the lake, the boat's speed is equal to its own speed. So, the effective speed of the boat during the journey on the lake is 11 km/h.

The distance traveled during the journey on the lake is 11 km/h * 2 hours.

# Total Distance

The total distance traveled is given as 50 km.

So, we can set up the equation:

(11 + x) km/h * 2 hours + 11 km/h * 2 hours = 50 km

Simplifying the equation:

22 km/h + 2x km/h + 22 km/h = 50 km

2x km/h = 50 km - 44 km/h

2x km/h = 6 km

x km/h = 6 km / 2 hours

x km/h = 3 km/h

Answer

The speed of the current is 3 km/h.

Explanation

The speed of the current is calculated by setting up an equation based on the given information. By solving the equation, we find that the speed of the current is 3 km/h