
5. Катер шел 2 часа против течения реки и 3 часа по течению. Какой путь прошел катер за эти 5
часов, если собственная скорость катера 18км/ч, а скорость течения реки 2км/ч?

Ответы на вопрос

Ответ:
92 км.
Пошаговое объяснение:
пр.т.=2ч.
по.т.=3 часа
1)18-2=16(км/ч)-скорость катера против реки
2)16×2=32(км)-расстояние,которое проплыл катер против течения реки
3)18+2=20(км/ч)-скорость катера по течению реки
4)20×3=60(км)-расстояние,которое проплыл катер по течению реки
5)32+60=92(км)-путь,который прошел катер







Calculation of the Distance Traveled by the Boat
To calculate the distance traveled by the boat, we need to consider the time spent traveling against the current and the time spent traveling with the current.
Given: - Time spent traveling against the current: 2 hours - Time spent traveling with the current: 3 hours - Boat's own speed: 18 km/h - Speed of the river current: 2 km/h
To calculate the distance traveled against the current, we can use the formula:
Distance = Speed x Time
For the time spent traveling against the current, the effective speed of the boat will be the difference between the boat's own speed and the speed of the river current. Therefore, the effective speed will be:
Effective speed against the current = Boat's own speed - Speed of the river current
Substituting the given values:
Effective speed against the current = 18 km/h - 2 km/h = 16 km/h
Using the formula for distance, we can calculate the distance traveled against the current:
Distance traveled against the current = Effective speed against the current x Time spent traveling against the current
Substituting the given values:
Distance traveled against the current = 16 km/h x 2 hours = 32 km
Similarly, to calculate the distance traveled with the current, we can use the same formula:
Distance traveled with the current = Effective speed with the current x Time spent traveling with the current
For the time spent traveling with the current, the effective speed of the boat will be the sum of the boat's own speed and the speed of the river current. Therefore, the effective speed will be:
Effective speed with the current = Boat's own speed + Speed of the river current
Substituting the given values:
Effective speed with the current = 18 km/h + 2 km/h = 20 km/h
Substituting the given values:
Distance traveled with the current = 20 km/h x 3 hours = 60 km
To calculate the total distance traveled by the boat, we can add the distances traveled against the current and with the current:
Total distance traveled = Distance traveled against the current + Distance traveled with the current
Substituting the calculated values:
Total distance traveled = 32 km + 60 km = 92 km
Therefore, the boat traveled a total distance of 92 km in the given 5 hours.


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