Question

Туристы проплыли на лодке от лагерь некоторое расстояние вверх по течению реки,затем причалили к взреве и погуляв 2 часа вернулись обратно через 6 часов от начала путешествия. На какое расстояние от лагерь они отплыли если скорость течению реки равна 3 км/ч,а собственная скорость лодки 6 км/ч? Решить таблицой!

Answer 1

Пусть х - это путь, который проплыли туристы.
Общее затраченное на путь время равно 4 часам, так как они затратили 2 часа на прогулку потому месту куда они приехали.(общее  6 часов).
Зная, что скорость по течению реки составляет 9 км/ч, а против течения реки - 3 км/ч, составим линейное уравнение и решим его:
x/9+2+x/3=6
x+2*9+3x=6*9
x+18+3x=54
4x=36
x=9
Ответ 9

Answer 2

Problem Analysis

We are given that tourists traveled a certain distance upstream on a river in a boat, then docked and walked for 2 hours, and finally returned back to the starting point in 6 hours. We need to determine the distance they traveled upstream.

Solution

To solve this problem, we can create a table to represent the distance, time, and speed of the boat and the river's current. Let's assume the distance traveled upstream is represented by x.

| | Distance (km) | Time (hours) | Speed (km/h) | |---|---|---|---| | Upstream | x | x/6 | 6 - 3 = 3 | | Downstream | x | x/2 | 6 + 3 = 9 |

From the table, we can see that the speed of the boat relative to the water is 6 km/h, and the speed of the river's current is 3 km/h.

Using the formula: speed = distance / time, we can calculate the time it took to travel upstream and downstream.

For the upstream journey: 3 km/h = x / (x/6) Simplifying the equation, we get: 3 = 6 / (x/6) Cross-multiplying, we get: 3 * (x/6) = 6 Simplifying further, we get: x/2 = 6 Multiplying both sides by 2, we get: x = 12

Therefore, the tourists traveled a distance of 12 km upstream from the campsite.

Answer

The tourists traveled a distance of 12 km upstream from the campsite.

Explanation

The tourists traveled upstream at a speed of 3 km/h relative to the river's current. Since the speed of the boat is 6 km/h, the speed of the river's current is subtracted from the boat's speed to determine the effective speed upstream. By setting up a table and using the formula for speed, we can solve for the distance traveled upstream. The calculation shows that the distance traveled upstream is 12 km.