Question

катер прошел расстояние между пристанями по течению реки за 3 часа, а назад - за 6ч 36мин. найдите собственную скорость катера, если скорость течения реки 2км/ч

Answer 1

если собственная скорость катера х км/час

то путь, пройденный по течению, (х+2)*3

равен пути, пройденному против течения, (х-2)*6.6

3х + 6 = 6.6х - 13.2

3.6х = 19.2

х = 192/36 = 5 целых 1/3 км/час или 5.(3) км/час

Answer 2

Calculating the Boat's Speed

To find the boat's speed, we can use the formula: speed = distance / time

The boat's speed is the sum of its own speed and the speed of the river's current. Let's denote the boat's speed as b and the speed of the river's current as c.

Given: - Time taken downstream = 3 hours - Time taken upstream = 6 hours 36 minutes = 6.6 hours - Speed of the river's current = 2 km/h

We can set up the following equations based on the given information: 1. b + c = distance / 3 (for downstream) 2. b - c = distance / 6.6 (for upstream)

We can solve these equations to find the boat's speed.

Solution

Using the given information and the equations, we can solve for the boat's speed.

For the downstream journey: b + 2 = distance / 3 For the upstream journey: b - 2 = distance / 6.6 We have two equations with two unknowns. By solving these equations simultaneously, we can find the boat's speed.

Let's solve for the boat's speed.