
Теплоход шёл по озеру 3ч со скоростью 27км/ч,а потом 4ч по реке,впадающей в это озеро. Найдите весь
путь,который прошёл теплоход за эти 7 ч,если скорость течения реки 3 км/ч.

Ответы на вопрос




Calculation of the Total Distance Traveled by the Boat
To calculate the total distance traveled by the boat, we need to consider the time it spent traveling on the lake and the time it spent traveling on the river.
The boat traveled on the lake for 3 hours at a speed of 27 km/h. Therefore, the distance covered on the lake can be calculated using the formula:
Distance = Speed × Time
Substituting the given values:
Distance on the lake = 27 km/h × 3 hours = 81 km.
Next, the boat traveled on the river for 4 hours. However, we need to take into account the speed of the river current, which is 3 km/h. This means that the boat's effective speed on the river is the difference between its speed and the speed of the current.
Effective speed on the river = Boat's speed - River current speed = 27 km/h - 3 km/h = 24 km/h.
Using the effective speed, we can calculate the distance covered on the river:
Distance on the river = Effective speed × Time = 24 km/h × 4 hours = 96 km.
Finally, to find the total distance traveled by the boat, we add the distances covered on the lake and the river:
Total distance = Distance on the lake + Distance on the river = 81 km + 96 km = 177 km.
Therefore, the boat traveled a total distance of 177 km during the 7-hour journey


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