Question

лодка прошла 5 км по течению реки 3 км против течения, затратив на весь путь 1 час. какова собственная скорость лодки, если скорость течения реки 2 км/ч?​

Answer 1

Решение приложено к снимку:

Answer 2

Calculating the Boat's Speed

To calculate the boat's speed, we can use the formula: 1. Speed downstream - Speed upstream = Boat's speed 2. Time downstream + Time upstream = Total time

Given: - Distance downstream = 5 km - Distance upstream = 3 km - River's current speed = 2 km/h - Total time taken = 1 hour

Using the given data, we can calculate the boat's speed.

Calculations

Let's denote the boat's speed as x km/h.

The time taken downstream is given by: Time downstream = Distance downstream / (Boat's speed + River's current speed)

The time taken upstream is given by: Time upstream = Distance upstream / (Boat's speed - River's current speed)

We know that the total time taken is 1 hour: Time downstream + Time upstream = 1 hour

Using the above information, we can solve for the boat's speed.

Solution

The calculations yield the boat's speed as 75 km/h.

This is calculated using the formula: 1/[1/100 + 1/(2x)] = 60 1/100 + 1/(2x) = 1/60; 3x + 150 = 5x; x = 75 km/h - .