Question

Теплоход прошел 12 км по течению реки и 10 км против течения за 1 час. Какая скорость теплохода в стоячей воде, если скорость течения 2 км / ч

Answer 1

Решеник в приложении.

Answer 2

Calculation of the Speed of the Boat in Still Water

To calculate the speed of the boat in still water, we can use the concept of relative velocity. The speed of the boat in still water can be determined by finding the average of the speeds of the boat when going upstream and downstream.

Given information: - Distance traveled downstream (with the current): 12 km - Distance traveled upstream (against the current): 10 km - Speed of the current: 2 km/h

Let's calculate the speed of the boat in still water:

1. Speed downstream (with the current): - Distance = 12 km - Time = 1 hour - Speed downstream = Distance / Time = 12 km / 1 hour = 12 km/h.

2. Speed upstream (against the current): - Distance = 10 km - Time = 1 hour - Speed upstream = Distance / Time = 10 km / 1 hour = 10 km/h.

3. Average speed: - Average speed = (Speed downstream + Speed upstream) / 2 = (12 km/h + 10 km/h) / 2 = 11 km/h.

Therefore, the speed of the boat in still water is 11 km/h.