Вопрос задан 30.04.2019 в 14:13. Предмет Математика. Спрашивает Barbq-Junior Андрюха.

Сколько километров пройдет теплоход за 6 часов, двигаясь против течения реки, если его собственная

скорость 21 км/ч, а скоростьтечения составляет 2/35 собственной скорости катера?

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Отвечает Хвисюк Ірина.

Vсоб.= 21км/ч

Vтеч.= 2/35*21=1,2км/ч

Vпр. теч = Vсоб. – Vтеч.=21-1,2=19,8км/ч

за 6 часов против течения теплоход пройдет 19,8*6=118,8км.

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Calculation of the Distance Traveled by the Boat

To calculate the distance traveled by the boat in 6 hours while moving against the current of the river, we need to consider the boat's own speed and the speed of the current.

Given: - Boat's own speed: 21 km/h - Speed of the current: 2/35 times the boat's own speed

To calculate the distance traveled, we can use the formula:

Distance = Speed × Time

Let's calculate the distance traveled by the boat in 6 hours.

Step 1: Calculate the effective speed of the boat against the current.

The effective speed of the boat against the current is the difference between the boat's own speed and the speed of the current.

Effective speed = Boat's own speed - Speed of the current

Substituting the given values:

Effective speed = 21 km/h - (2/35) × 21 km/h

Step 2: Calculate the distance traveled by the boat.

Distance = Effective speed × Time

Substituting the values:

Distance = (21 km/h - (2/35) × 21 km/h) × 6 hours

Now, let's calculate the distance using the given values.

Step 1: Calculate the effective speed of the boat against the current.

Effective speed = 21 km/h - (2/35) × 21 km/h

Effective#### Calculating the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we can use the formula: distance = speed * time

Given: - Boat's own speed = 21 km/h - Time = 6 hours - Speed of the river's current = 2/35 of the boat's own speed

First, let's calculate the effective speed of the boat when moving against the current.

The effective speed of the boat against the current is given by: effective speed = boat's own speed - speed of the current

The speed of the current is 2/35 of the boat's own speed, so: speed of the current = (2/35) * 21 km/h

Let's calculate the speed of the current: ``` speed of the current = (2/35) * 21 km/h = 1.2 km/h ```

Now, we can calculate the effective speed of the boat against the current: ``` effective speed = 21 km/h - 1.2 km/h = 19.8 km/h ```

Finally, we can calculate the distance traveled by the boat against the current using the formula: distance = speed * time ``` distance = 19.8 km/h * 6 hours = 118.8 km ```

So, the boat will travel 118.8 kilometers against the current in 6 hours.

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