Question

Катер проплыл по течению реки за 2,4 ч расстояние 55 целых 1/5 км. Скорость течения реки 2,5 км/ч. Найдите собственную скорость катера

Answer 1

55,2:2,4=23км/ч скорость катера по течению
23-2,5=20,5км/ч собственная скорость катера

Answer 2

Calculating the Boat's Speed

To find the boat's speed, we can use the formula: Speed = Distance / Time

Given: - Distance = 55 1/5 km - Time = 2.4 hours - River's current speed = 2.5 km/h

First, let's calculate the effective speed of the boat with the current.

The effective speed of the boat with the current is given by: Effective speed = Distance / (Time - River's current speed)

Let's calculate the effective speed using the given values.

Calculating the Effective Speed

Effective speed = 55 1/5 / (2.4 - 2.5)

Effective speed = 55 1/5 / (-0.1)

Effective speed = -551

The effective speed of the boat with the current is -551 km/h. This result seems incorrect. Let's re-evaluate the calculation.

Recalculating the Effective Speed

Effective speed = Distance / (Time + River's current speed)

Effective speed = 55 1/5 / (2.4 + 2.5)

Effective speed = 55 1/5 / 4.9

Effective speed = 55 1/5 / 4.9 = 11 1/5

The effective speed of the boat with the current is 11 1/5 km/h.

Now, to find the boat's speed, we need to subtract the river's current speed from the effective speed.

Finding the Boat's Speed

Boat's speed = Effective speed - River's current speed

Boat's speed = 11 1/5 - 2.5

Boat's speed = 8 3/5 km/h

So, the boat's speed is 8 3/5 km/h.