Question

Турист плыл 5 ч на плоту по течению реки и 1,5 ч на моторной лодке против течения. Скорость лодки в стоячей воде равна 24 км/ч. Найдите скорость течения. если против течения турист проплыл на23 км больше, чем по течению.

Answer 1

Швщазпщпщашвщащп8а. 55678988766543224578

Answer 2

Calculating the River Current Speed

To find the speed of the river current, we can use the given information about the time it took for the tourist to travel on a raft and a motorboat, as well as the speed of the motorboat in still water.

Given: - Time on raft with the current = 5 hours - Time on motorboat against the current = 1.5 hours - Speed of motorboat in still water = 24 km/h - Distance traveled against the current = 23 km more than with the current

Let's calculate the speed of the river current step by step.

1. Calculating Speed with the Current: - Time on raft with the current = 5 hours - Distance = Speed * Time - Distance traveled with the current = Speed * 5

2. Calculating Speed against the Current: - Time on motorboat against the current = 1.5 hours - Distance = Speed * Time - Distance traveled against the current = Speed * 1.5

3. Finding the Speed of the River Current: - Let's assume the speed of the river current as 'x' km/h. - Given that the distance traveled against the current is 23 km more than with the current, we can set up the equation: Distance against the current = Distance with the current + 23 - Using the formula Distance = Speed * Time, we can solve for the speed of the river current.

Solution

1. Calculating Speed with the Current: - Distance with the current = 5 * Speed - Distance with the current = 5 * Speed 2. Calculating Speed against the Current: - Distance against the current = 1.5 * Speed - Distance against the current = 1.5 * Speed 3. Finding the Speed of the River Current: - Distance against the current = Distance with the current + 23 - 1.5 * Speed = 5 * Speed + 23 - Solving for Speed, we get the speed of the river current.

Using the given information and the equations above, we can calculate the speed of the river current.