Question

Катер проплыл 1.5 ч по озеру, затем 45 мин. по реке, которая впадает в это озеро. Собственная скорость катера v км / ч, скорость течения реки 2,3 км / ч. Какое расстояние проплыл катер?

Answer 1

1,5 * V+ 0.75 (V-2,3)

Answer 2

Problem Analysis

We are given the following information: - The boat traveled for 1.5 hours on the lake. - The boat then traveled for 45 minutes on the river, which flows into the lake. - The boat's own speed is v km/h. - The speed of the river's current is 2.3 km/h.

We need to determine the distance traveled by the boat.

Solution

To find the distance traveled by the boat, we need to calculate the distance traveled on the lake and the distance traveled on the river separately, and then add them together.

# Distance Traveled on the Lake

The distance traveled on the lake can be calculated using the formula:

Distance = Speed x Time

The boat's speed on the lake is v km/h, and it traveled for 1.5 hours. Therefore, the distance traveled on the lake is:

Distance on Lake = v km/h x 1.5 hours

# Distance Traveled on the River

The distance traveled on the river can be calculated using the formula:

Distance = Speed x Time

The boat's speed on the river is the sum of its own speed (v km/h) and the speed of the river's current (2.3 km/h). It traveled on the river for 45 minutes, which is equal to 0.75 hours. Therefore, the distance traveled on the river is:

Distance on River = (v km/h + 2.3 km/h) x 0.75 hours

# Total Distance Traveled

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

Total Distance = Distance on Lake + Distance on River

Let's substitute the values and calculate the total distance traveled by the boat.

Calculation

Using the given information, we can calculate the total distance traveled by the boat.

Distance on Lake = v km/h x 1.5 hours

Distance on River = (v km/h + 2.3 km/h) x 0.75 hours

Total Distance = Distance on Lake + Distance on River

Answer

The boat traveled a total distance of (v km/h x 1.5 hours) + [(v km/h + 2.3 km/h) x 0.75 hours].

Please note that the specific value of the distance traveled by the boat cannot be determined without knowing the value of the boat's speed (v km/h).