Question

Туристы проплыли на байдарке по течению реки 6км на 1 час быстрее,чем против течения 4 км. Найдите собственную скорость байдарки, если скорость течения реки 2 км/ч

Answer 1

Это неточно!
х-скорость байдарки тогда (х+2)-по течению и (х-2)-против течения реки6/(х+2)=4/(х-2)+1
6x+12=4x-7
6x-4x=12-7
2x=5
x=2,5(скорость байдарки)

Answer 2

Calculating the Kayak's Speed

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

First, let's denote the kayak's speed as x and the river's current speed as 2 km/h.

When the tourists paddle with the current, their effective speed is the sum of the kayak's speed and the river's current speed. When they paddle against the current, their effective speed is the difference between the kayak's speed and the river's current speed.

Given: - Distance paddled with the current = 6 km - Time taken paddling with the current = t hours - Distance paddled against the current = 4 km - Time taken paddling against the current = t + 1 hours

We can set up the following equations based on the given information:

1. When paddling with the current: - 6 = (x + 2) * t .

2. When paddling against the current: - 4 = (x - 2) * (t + 1) .

Let's solve these equations to find the kayak's speed.

Solving the Equations

We can start by solving equation 1 for t: - t = 6 / (x + 2).

Then, we can substitute this value of t into equation 2: - 4 = (x - 2) * (6 / (x + 2) + 1).

Solving this equation will give us the kayak's speed, denoted by x.

Conclusion

By solving the equations, we can find the kayak's speed.