Question

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 7ч,если скорость течения реки 3км/ч.

Answer 1

27*3=81км прошел теплоход по озеру
27-3=24км/ч скорость по реке
24*4=96км прошел теплоход по реке
96+81=177км прошел теплоход за 7 часов

Answer 2

$3*27+4(27-3)=177$ (км)

Answer 3

Problem Analysis

We are given the following information: - A boat traveled on a lake for 3 hours at a speed of 27 km/h. - The boat then traveled on a river that flows into the lake for 4 hours. - The speed of the river's current is 3 km/h.

We need to find the total distance traveled by the boat in these 7 hours.

Solution

To find the total distance traveled by the boat, we need to calculate the distance traveled on the lake and the distance traveled on the river separately, and then add them together.

Let's start by calculating the distance traveled on the lake.

Distance traveled on the lake: The formula to calculate distance is: distance = speed × time.

Given: - Speed on the lake = 27 km/h - Time on the lake = 3 hours

Using the formula, we can calculate the distance traveled on the lake as follows:

Distance on the lake = Speed on the lake × Time on the lake

Distance on the lake = 27 km/h × 3 hours

Distance on the lake = 81 km

Next, let's calculate the distance traveled on the river.

Distance traveled on the river: Since the river flows into the lake, the boat's speed on the river will be affected by the current of the river.

The effective speed of the boat on the river can be calculated as the difference between the boat's speed and the speed of the river's current.

Effective speed on the river = Speed on the river - Speed of the river's current

Effective speed on the river = 27 km/h - 3 km/h

Effective speed on the river = 24 km/h

Given: - Effective speed on the river = 24 km/h - Time on the river = 4 hours

Using the formula, we can calculate the distance traveled on the river as follows:

Distance on the river = Effective speed on the river × Time on the river

Distance on the river = 24 km/h × 4 hours

Distance on the river = 96 km

Now, we can find the total distance traveled by adding the distance on the lake and the distance on the river:

Total distance traveled = Distance on the lake + Distance on the river

Total distance traveled = 81 km + 96 km

Total distance traveled = 177 km

Therefore, the total distance traveled by the boat in these 7 hours is 177 km.

Conclusion

The boat traveled a total distance of 177 km in 7 hours, with 81 km on the lake and 96 km on the river.