Question

Помогите решить задачу. Теплоход шёл по озеру (по течению) 3 ч со скоростью 27 км/ч, а потом 4 ч по реке (то есть против течения), впадающий в это озеро. Найдите весь путь, который прошёл теплоход за эти 7 часов если скорость течения РЕКИ 3 км/ч.

Answer 1

27*3=81 км прошел теплоход по озеру
27-3= 24 км\ч  скорость теплохода против течения реки
24*4= 96 км прошел теплоход по реке
81+96= 177 км всего прошел теплоход 

Answer 2

Problem Analysis

We are given the following information: - The boat traveled on a lake with a current for 3 hours at a speed of 27 km/h. - Then, the boat traveled on a river against the current for 4 hours. - The speed of the river's current is 3 km/h.

We need to find the total distance traveled by the boat in these 7 hours.

Solution

To find the total distance traveled by the boat, we need to calculate the distance traveled on the lake and the distance traveled on the river separately.

# Distance Traveled on the Lake

The boat traveled on the lake for 3 hours at a speed of 27 km/h. The distance traveled on the lake can be calculated using the formula:

Distance = Speed × Time

Substituting the given values:

Distance on the lake = 27 km/h × 3 hours

# Distance Traveled on the River

The boat traveled on the river against the current for 4 hours. Since there is a current of 3 km/h, the effective speed of the boat will be the difference between the boat's speed and the current's speed. Therefore, the effective speed of the boat on the river will be:

Effective Speed = Boat's Speed - Current's Speed

Substituting the given values:

Effective Speed on the river = 27 km/h - 3 km/h

Now, we can calculate the distance traveled on the river using the formula:

Distance = Speed × Time

Substituting the effective speed and the given time:

Distance on the river = (27 km/h - 3 km/h) × 4 hours

# Total Distance Traveled

To find the total distance traveled by the boat, we need to add the distance traveled on the lake and the distance traveled on the river:

Total Distance = Distance on the lake + Distance on the river

Substituting the calculated distances:

Total Distance = (27 km/h × 3 hours) + ((27 km/h - 3 km/h) × 4 hours)

Now we can calculate the total distance traveled by the boat.

Calculation

Let's calculate the total distance traveled by the boat.

Distance on the lake = 27 km/h × 3 hours = 81 km

Distance on the river = (27 km/h - 3 km/h) × 4 hours = 96 km

Total Distance = 81 km + 96 km = 177 km

Therefore, the boat traveled a total distance of 177 km in these 7 hours.

Answer

The boat traveled a total distance of 177 km in these 7 hours.

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