Question

Турист плыл на плоту 5 часов по течению и 1.5 часа на моторной лодке против течения.Скорость лодки в стоячей воде 24 км/ч.Найдите скорость течения , если против течения турист проплыл на 23 км/ч больше ,чем по течению.

Answer 1

1.5(24-х) - 5х = 23
36 - 1.5х - 5х = 23
13 = 6.5х
х = 2
Ответ: 2 км/ч

Answer 2

Calculating the Speed of the Current

To find the speed of the current, we can use the formula: speed of boat in still water = (speed downstream + speed upstream) / 2.

Given: - Time spent downstream = 5 hours - Time spent upstream = 1.5 hours - Speed of boat in still water = 24 km/h - Distance covered upstream = 23 km more than downstream

Let's calculate the speed of the current using the given information.

The speed downstream can be calculated using the formula: speed downstream = (distance downstream) / (time downstream). The speed upstream can be calculated using the formula: speed upstream = (distance upstream) / (time upstream).

The speed of the current can be calculated using the formula: speed of current = (speed downstream - speed upstream) / 2.

Calculations

First, let's calculate the speed downstream: - Distance downstream = 5 hours * 24 km/h = 120 km - Speed downstream = 120 km / 5 hours = 24 km/h

Next, let's calculate the speed upstream: - Distance upstream = 23 km + 120 km = 143 km - Speed upstream = 143 km / 1.5 hours = 95.33 km/h

Now, we can calculate the speed of the current: - Speed of current = (24 km/h - 95.33 km/h) / 2 = -35.67 km/h

Conclusion

The calculated speed of the current is 35.67 km/h in the opposite direction of the boat's motion.