Question

Собственная скорость катера равна 20,4 км/ч, скорость течения реки 3,2 км/ч. Когда катер прошёл по течению реки 2,5 часа, до пристани оставалось ещё 16,3 км. Сколько километров проплыл катер до пристани?

Answer 1

20,4 + 3,2 = 23,6 км/ч - скорость катера по течению
23,6 * 2,5 = 59 км - прошёл катер за 2.5 часа
59 + 16,3 = 75,3 км - расстояние до пристани.

Answer 2

Calculating the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we can use the formula: distance = speed × time

Given: - Boat's speed = 20.4 km/h - River's flow speed = 3.2 km/h - Time taken to travel with the flow of the river = 2.5 hours - Remaining distance to the dock = 16.3 km

First, let's calculate the distance traveled by the boat with the flow of the river.

The effective speed of the boat with the flow of the river can be calculated using the formula: effective speed = boat's speed + river's flow speed

The distance traveled with the flow of the river can be calculated using the formula: distance = effective speed × time

Calculating the Effective Speed

The effective speed of the boat with the flow of the river is: 20.4 km/h + 3.2 km/h = 23.6 km/h

Calculating the Distance Traveled with the Flow of the River

The distance traveled with the flow of the river is: 23.6 km/h × 2.5 h = 59 km

Calculating the Remaining Distance

The remaining distance to the dock is 16.3 km.

Calculating the Total Distance Traveled

The total distance traveled by the boat to the dock is the sum of the distance traveled with the flow of the river and the remaining distance: 59 km + 16.3 km = 75.3 km

Therefore, the boat traveled a total of 75.3 kilometers to reach the dock.

(#1)(#2)(#3)