Question

Катер шел 3 часа вниз по реке со скоростью 16км/ч. Обратный путь он прошел за 4 часа. Какова скорость течения реки?

Answer 1

1) 16×3=48(км)-путь 2) 48÷4=12(км/ч)-скорость против течения 3) (16-12)÷2=2(км/ч)-скорость течения Ответ:2км/ч

Answer 2

Vk -скорость катера
Vp -скорость реки
(Vk+Vp)t1=(Vk-Vp)t2
16*3+3Vp=16*4-4Vp
7Vp=16
Vp=16/7 км/ч
Ответ:16/7 км/ч

Answer 3

Calculating the River's Current Speed

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

Speed = Distance / Time

First, let's calculate the speed of the boat when traveling downstream and then use this information to find the speed of the river's current.

Downstream Speed Calculation

The boat traveled downstream for 3 hours at a speed of 16 km/h.

Using the formula: Speed = Distance / Time

The distance traveled downstream = 16 km/h * 3 h = 48 km

So, the downstream speed of the boat is 48 km.

Upstream Speed Calculation

The boat traveled upstream for 4 hours.

Using the same formula: Speed = Distance / Time

The distance traveled upstream = Speed * Time The distance traveled upstream = 16 km/h * 4 h = 64 km

So, the upstream speed of the boat is 64 km.

Calculating the River's Current Speed

Let's denote the speed of the boat in still water as 'B' and the speed of the river's current as 'C'.

When the boat travels downstream, its effective speed is the sum of its speed in still water and the speed of the current: Downstream speed = B + C

When the boat travels upstream, its effective speed is the difference between its speed in still water and the speed of the current: Upstream speed = B - C

We already know the downstream and upstream speeds of the boat. Using these, we can form two equations and solve for the speed of the river's current.

Equation 1: B + C = 48 Equation 2: B - C = 64

Adding the two equations together, we get: 2B = 112 B = 56

Substituting the value of B into Equation 1: 56 + C = 48 C = 48 - 56 C = -8

The speed of the river's current is 8 km/h.