Собственная скорость катера 15.3 км/ч, а скорость течения 2.4 км/ч. За 2 ч катер по течению реки
преодолел 30% расстояния между пристанями А и В. Чему равно расстояние между пристанями А и В?Ответы на вопрос
Calculation of Distance between Ports A and B
To calculate the distance between ports A and B, we can use the information provided about the speed of the boat and the speed of the current.
Given: - Boat's speed: 15.3 km/h - Current's speed: 2.4 km/h - Boat traveled 30% of the distance between ports A and B in 2 hours against the current
Let's assume the total distance between ports A and B is represented by D.
To calculate the distance traveled by the boat against the current, we can use the formula:
Distance = Speed × Time
The boat's speed against the current is the difference between the boat's speed and the current's speed:
Boat's speed against the current = Boat's speed - Current's speed
Therefore, the distance traveled by the boat against the current in 2 hours is:
Distance against the current = (Boat's speed against the current) × Time
Substituting the given values:
Distance against the current = (15.3 km/h - 2.4 km/h) × 2 hours
Simplifying the equation:
Distance against the current = 12.9 km/h × 2 hours
Distance against the current = 25.8 km
Since the boat traveled 30% of the total distance between ports A and B against the current, we can set up the following equation:
Distance against the current = 0.3 × Total distance
Substituting the values:
25.8 km = 0.3 × Total distance
Solving for the total distance:
Total distance = 25.8 km / 0.3
Total distance = 86 km
Therefore, the distance between ports A and B is 86 kilometers.
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