Question

теплоход шел 2.5 ч. по течению реки и 3.2 ч. против течения. Какой общий путь прошел теплоход, если его собственная скорость 22 км/ч, а скорость течения 3 км/ч? помогите решить задачу по действиям и с пояснениями)

Answer 1

2.5 *(22+3) + 3.2 *(22 - 3) = 2.5*25 + 3.2* 19 = 62.5 + 60.8 = 123.3 км

ответ: общий путь равен 123.3 км

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Теперь пояснения:

1) (22 + 3) - скорость по течению

2) 2.5 *( на 1 действие) - путь по течению

3) (22 - 3) - скорость против течения

4) 3.2 * ( на 3 действие) - путь против течения

5) (действие 2) +(Действие  4) = Общий путь

Answer 2

22+3=25км/ч это скорость по течению

25*2,5=62,5км проплыл по течению

22-3=19км/ч это скорость против течения

19*3,2=60,8км проплыл против течения

62,5+60,8=123,3км проплыл теплоход за все время

Answer 3

Problem Analysis

We are given the following information: - The speed of the boat in still water is 22 km/h. - The speed of the river current is 3 km/h. - The boat traveled for 2.5 hours with the current. - The boat traveled for 3.2 hours against the current.

We need to find the total distance traveled by the boat.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's calculate the distance traveled by the boat with the current and against the current separately.

1. Distance traveled with the current: - Speed of the boat with the current = Speed of the boat in still water + Speed of the current - Time = 2.5 hours

Using the formula, we can calculate the distance traveled with the current:

Distance with the current = (Speed of the boat with the current) × Time

2. Distance traveled against the current: - Speed of the boat against the current = Speed of the boat in still water - Speed of the current - Time = 3.2 hours

Using the formula, we can calculate the distance traveled against the current:

Distance against the current = (Speed of the boat against the current) × Time

3. Total distance traveled: The total distance traveled by the boat is the sum of the distances traveled with the current and against the current.

Total distance = Distance with the current + Distance against the current

Let's substitute the given values into the formulas and calculate the distances.

Calculation

1. Distance traveled with the current: - Speed of the boat with the current = 22 km/h + 3 km/h = 25 km/h - Time = 2.5 hours

Distance with the current = (25 km/h) × (2.5 hours) = 62.5 km

2. Distance traveled against the current: - Speed of the boat against the current = 22 km/h - 3 km/h = 19 km/h - Time = 3.2 hours

Distance against the current = (19 km/h) × (3.2 hours) = 60.8 km

3. Total distance traveled: Total distance = Distance with the current + Distance against the current

Total distance = 62.5 km + 60.8 km = 123.3 km

Answer

The boat traveled a total distance of 123.3 km.

Please let me know if I can help you with anything else.