Question

собственная скорость катера 22,8 км/ч,а скорость течения реки 2,6 км/ч.Катер от порта по течению реки проплыл 2,5 часа.Потом катер повернул обратно и проплыв против течения реки 2,5 часа остановился.Наскаком расстоянии от порта остановился катер?​

Answer 1

Calculation of the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we need to consider the speed of the boat and the speed of the river current, as well as the time it took for the boat to travel in each direction.

Given: - Boat speed: 22.8 km/h - River current speed: 2.6 km/h - Time traveled downstream: 2.5 hours - Time traveled upstream: 2.5 hours

To find the distance traveled by the boat, we can use the formula:

Distance = Speed × Time

1. Distance traveled downstream: - Speed of the boat relative to the river current = Boat speed - River current speed - Distance downstream = (Boat speed - River current speed) × Time traveled downstream

2. Distance traveled upstream: - Speed of the boat relative to the river current = Boat speed + River current speed - Distance upstream = (Boat speed + River current speed) × Time traveled upstream

3. Total distance traveled: - Total distance = Distance downstream + Distance upstream

Let's calculate the distance traveled by the boat step by step.

1. Distance traveled downstream: - Speed of the boat relative to the river current = 22.8 km/h - 2.6 km/h = 20.2 km/h - Distance downstream = 20.2 km/h × 2.5 hours = 50.5 km

2. Distance traveled upstream: - Speed of the boat relative to the river current = 22.8 km/h + 2.6 km/h = 25.4 km/h - Distance upstream = 25.4 km/h × 2.5 hours = 63.5 km

3. Total distance traveled: - Total distance = Distance downstream + Distance upstream = 50.5 km + 63.5 km = 114 km

Therefore, the boat stopped at a distance of 114 kilometers from the port.