Question

Лодка плывет по течению реки 1,6 километра за 12 минут, найдите скорость течения и скорость лодки в стоячей воде, если скорость течения реки составляет 0,125 скорости лодки по течению

Answer 1

1.6 км/12 мин.- скорость лодки по течению.
1,6 *0,125 = 0,2 (км/12 мин)- скорость течения реки за 12 мин. (это в час будет 1 км/час).
1,6-0,2=1,4 (км/12 мин)-скорость лодки в стоячей воде (это 7 км/ час).

Answer 2

Problem Analysis

We are given that a boat is traveling downstream in a river at a speed of 1.6 kilometers in 12 minutes. We need to find the speed of the current and the speed of the boat in still water. We are also given that the speed of the current is 0.125 times the speed of the boat relative to the current.

Solution

Let's assume the speed of the boat in still water is B and the speed of the current is C.

The boat's speed downstream is the sum of the speed of the boat in still water and the speed of the current: B + C = 1.6 km/12 min

We are also given that the speed of the current is 0.125 times the speed of the boat relative to the current: C = 0.125B

To solve this system of equations, we can substitute the value of C from the second equation into the first equation: B + 0.125B = 1.6 km/12 min

Simplifying the equation: 1.125B = 1.6 km/12 min

Now, we can solve for B, the speed of the boat in still water: B = (1.6 km/12 min) / 1.125

Calculating the value of B: B = 1.6 km / (12 min * 1.125) = 0.142 km/min

Finally, we can calculate the speed of the current by substituting the value of B into the second equation: C = 0.125 * 0.142 km/min

Calculating the value of C: C = 0.01775 km/min

Therefore, the speed of the current is approximately 0.01775 km/min and the speed of the boat in still water is approximately 0.142 km/min.

Answer

The speed of the current is approximately 0.01775 km/min and the speed of the boat in still water is approximately 0.142 km/min.