Question

Рыболов проплыл на лодке от пристани некоторое расстояние вверх по течению реки, затем бросил якорь, 2 часа ловил рыбу и вернулся обратно через 6 часов от начала путешествия. На какое расстояние от пристани он отплыл, если скорость течения реки равна 3 км/ч, а собственная скорость лодки 6 км/ч?

Answer 1

Если он на всё это плаванье потратил 6 часов и рыбачил 2 часа то:
1)6-2=4 часа (столько он плавал).
2)4/2=2 часа (столько он плыл до места рыбачества и обратно).
3)2*(6+3)=18 км (расстояние на которое он отплыл от пристани)
Ответ: На 18 км он отплыл от пристани.
Удачи :)

Answer 2

Problem Analysis

The fisherman traveled a certain distance upstream on a river in his boat, then dropped anchor and fished for 2 hours. After that, he returned back to the starting point in 6 hours. We need to determine the distance from the starting point that he traveled if the river's current speed is 3 km/h and the boat's speed is 6 km/h.

Solution

Let's assume the distance from the starting point that the fisherman traveled upstream is x km.

To calculate the time it took for the fisherman to travel upstream, we can use the formula: time = distance / speed. The speed of the boat relative to the water is the difference between the boat's speed and the current speed of the river. Therefore, the time taken to travel upstream is x / (6 - 3) = x / 3 hours.

The fisherman then spent 2 hours fishing, so the total time spent on the trip is x / 3 + 2 hours.

To calculate the time it took for the fisherman to return back to the starting point, we can use the formula: time = distance / speed. The speed of the boat relative to the water is the sum of the boat's speed and the current speed of the river. Therefore, the time taken to return is x / (6 + 3) = x / 9 hours.

The total time for the trip is given as 6 hours, so we can set up the equation: x / 3 + 2 + x / 9 = 6.

Simplifying the equation, we get: 3x + 18 + x = 54.

Combining like terms, we get: 4x + 18 = 54.

Subtracting 18 from both sides, we get: 4x = 36.

Dividing both sides by 4, we get: x = 9.

Therefore, the fisherman traveled 9 km from the starting point.

Answer

The fisherman traveled a distance of 9 km from the starting point.

Explanation

The fisherman traveled upstream for a certain distance, spent 2 hours fishing, and then returned back to the starting point in 6 hours. By setting up an equation based on the time taken for each part of the trip and solving it, we find that the fisherman traveled a distance of 9 km from the starting point.