Question

расстояние между пунктами А и В по реке равно 2 км. Лодка совершает путь из А в В и обратно за 35 мин. Найдите скорость лодки в стоячей воде,если скорость течения реки равна 1 км.ч

Answer 1

Calculation of Boat Speed in Still Water

To find the speed of the boat in still water, we can use the concept of relative velocity. The boat's speed in still water can be calculated by subtracting the speed of the river's current from the total speed of the boat in both directions.

Given: - Distance between points A and B along the river = 2 km - Time taken by the boat to travel from A to B and back = 35 minutes

Let's calculate the boat's speed in still water step by step:

1. Convert the time taken to travel from A to B and back to hours: - 35 minutes = 35/60 hours = 0.5833 hours

2. Calculate the total distance covered by the boat in both directions: - Distance from A to B + Distance from B to A = 2 km + 2 km = 4 km

3. Calculate the total time taken by the boat to cover the total distance: - Total time = 0.5833 hours

4. Calculate the speed of the boat in still water: - Speed = Total distance / Total time - Speed = 4 km / 0.5833 hours

The speed of the boat in still water is approximately 6.86 km/h.