Question

Туристы проплыли на лодке от лагеря некоторое расстояние вверх по течению реки, затем причалили к берегу и, погуляв 3 часа, вернулись обратно через 6 часов от начала путешествия. На какое расстояние от лагеря они отплыли, если скорость течения реки равна 3 км/ч, а собственная скорость лодки 9 км/ч? помогите пожалуйста решить задачу с пояснениями! буду очень благодарна! Срочно

Answer 1

1)9+3=12 (км)-скорость.
6 часов всего они потратили на путешествие.
2)12÷6=2 (км)-отплыли.
       Ответ:на 2 км отплыли.

Answer 2

1)9-3=6 скорость лодки против течения
2)6-3= 3 время путешествия
3)6*3= 18км

Answer 3

Problem Analysis

In this problem, tourists traveled upstream on a river for a certain distance, then docked on the shore and walked for 3 hours before returning back to their starting point. We need to find the distance from the campsite where they initially departed. We are given the speed of the river's current and the speed of the boat.

Solution

Let's assume the distance from the campsite to the point where they docked is D kilometers. Since they traveled upstream, the effective speed of the boat would be the difference between the boat's speed and the speed of the river's current. Similarly, when they returned downstream, the effective speed of the boat would be the sum of the boat's speed and the speed of the river's current.

To find the distance D, we can set up the following equation:

D = (effective speed upstream) × (time upstream) = (effective speed downstream) × (time downstream)

Let's calculate the effective speed upstream and downstream:

- Effective speed upstream = (speed of the boat) - (speed of the river's current) - Effective speed downstream = (speed of the boat) + (speed of the river's current)

We are given that the speed of the river's current is 3 km/h and the speed of the boat is 9 km/h. The time upstream is 6 hours and the time downstream is 3 hours.

Let's substitute these values into the equation to find the distance D:

D = [(9 - 3) km/h] × 6 hours = [(9 + 3) km/h] × 3 hours

Calculation

Let's calculate the distance D:

D = (6 km/h) × 6 hours = (12 km/h) × 3 hours = 36 km

Answer

The tourists traveled a distance of 36 km from the campsite before docking and walking for 3 hours.

Explanation

The distance D can be found by setting up the equation D = (effective speed upstream) × (time upstream) = (effective speed downstream) × (time downstream). By substituting the given values, we find that D = 36 km. This means that the tourists traveled 36 km from the campsite before docking and walking for 3 hours.