Question

Вот задача: Лодка проплыла по течению реки 3 ч. и против течения-4ч. Найдите длину всего пути, пройденного лодкой, если скорость течения реки-3км в час, а скорость лодки по течению- 8 км в час.(пожалуйста помогите решить, если не сложно)

Answer 1

1.Узнаем путь,пройденный лодкой по течению:8X3=24км.
2.Теперь путь против течения:1)8-3=5км/ч скорость против течения.2)5X4=20км.
3.Весь путь: 24+20=44 км.

Answer 2

Problem Analysis

To solve this problem, we need to find the total distance traveled by the boat. We are given the time it takes for the boat to travel with the current and against the current, as well as the speed of the current and the speed of the boat with the current.

Solution

Let's denote the total distance traveled by the boat as D. We can use the formula D = V * T, where V is the velocity of the boat and T is the time taken.

1. Distance traveled with the current: - Velocity of the boat with the current: 8 km/h - Time taken: 3 hours - Distance traveled with the current: D1 = 8 km/h * 3 hours = 24 km.

2. Distance traveled against the current: - Velocity of the boat against the current: 8 km/h - 3 km/h (speed of the current) = 5 km/h - Time taken: 4 hours - Distance traveled against the current: D2 = 5 km/h * 4 hours = 20 km.

3. Total distance traveled by the boat: - Total distance traveled: D = D1 + D2 = 24 km + 20 km = 44 km.

Therefore, the total distance traveled by the boat is 44 km.

Answer

The total distance traveled by the boat is 44 km.

Verification

Let's verify the answer using the given information.

- Distance traveled with the current: 8 km/h * 3 hours = 24 km. - Distance traveled against the current: 5 km/h * 4 hours = 20 km. - Total distance traveled: 24 km + 20 km = 44 km.

The calculated total distance matches the answer we obtained, so our solution is correct.