Question

Расстояние между двумя поселками по реке 6км. Яхта проходит это расстояние туда и обратно за 50 мин. Найдите скорость течения реки, если скорость яхты в стоячей воде 15 км/ч.

Answer 1

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Answer 2

Calculating River Current Speed

To calculate the speed of the river current, we can use the formula:

Speed of the boat in still water = (Speed of the boat downstream + Speed of the boat upstream) / 2

Given: - Distance between the two villages along the river = 6 km - Time taken for the yacht to travel this distance there and back = 50 minutes - Speed of the yacht in still water = 15 km/h

First, let's convert the time taken to travel the distance there and back to hours for easier calculation.

Calculating Time in Hours

The time taken for the yacht to travel the distance there and back is 50 minutes, which is 50/60 = 5/6 hours.

Calculating Speed of the Boat Downstream and Upstream

The speed of the boat downstream can be calculated using the formula: Speed of the boat downstream = (Distance between the two villages) / (Time taken to travel downstream)

The speed of the boat upstream can be calculated using the formula: Speed of the boat upstream = (Distance between the two villages) / (Time taken to travel upstream)

Calculating Speed of the River Current

Once we have the speed of the boat downstream and upstream, we can use the formula mentioned earlier to calculate the speed of the river current.

Let's proceed with the calculations.