Question

Теплоход шёл по озиру 3 ч со скоростью 27 км/ч , а потом 4 ч по реке , вподающей в это озеро . найди весь путь , который прощел теплоход за эти 7 ч, если скорость течения реки 3 км/в ч

Answer 1

88 километров весь путь

Answer 2

Calculation of the Total Distance Traveled by the Boat

To calculate the total distance traveled by the boat, we need to consider two segments of its journey: the time spent on the lake and the time spent on the river.

1. Time spent on the lake: The boat traveled for 3 hours on the lake at a speed of 27 km/h. Therefore, the distance covered on the lake is calculated as follows:

Distance on the lake = Speed × Time = 27 km/h × 3 h = 81 km.

2. Time spent on the river: The boat traveled for 4 hours on the river. However, we need to account for the river's current, which has a speed of 3 km/h. This means that the boat's effective speed relative to the ground is reduced by the speed of the current.

To calculate the effective speed of the boat on the river, we subtract the speed of the current from the boat's speed:

Effective speed on the river = Boat speed - Current speed = 27 km/h - 3 km/h = 24 km/h.

Now, we can calculate the distance covered on the river using the effective speed:

Distance on the river = Speed × Time = 24 km/h × 4 h = 96 km.

3. Total distance traveled: 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 kilometers during the 7-hour journey.

Please note that the calculations provided are based on the information given and may not account for other factors such as changes in speed or direction during the journey.