Question

Помогите пожалуйста!Задача:Моторная лодка проходит по течению реки за 6 часов такое же расстояние ,как за 8 часов против течения.Найдите собственную скорость лодки ,если скорость течения реки равна 2км/ч.

Answer 1

Скорость лодки Х

6 (X+2) = 8 (X-2)
6X+12 = 8X -16
2x = 28
x = 14

Answer 2

Problem Analysis

We are given that a motorboat takes 6 hours to travel a certain distance with the current and the same distance against the current in 8 hours. We need to find the speed of the boat when there is no current.

Solution

Let's assume the speed of the boat in still water is x km/h. The speed of the current is given as 2 km/h.

When the boat is traveling with the current, its effective speed is the sum of its own speed and the speed of the current. So, the effective speed is (x + 2) km/h.

When the boat is traveling against the current, its effective speed is the difference between its own speed and the speed of the current. So, the effective speed is (x - 2) km/h.

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

Distance = Speed × Time

For the first scenario (traveling with the current), the distance is the same and the time is 6 hours:

(x + 2) × 6 = Distance For the second scenario (traveling against the current), the distance is the same and the time is 8 hours:

(x - 2) × 8 = Distance To find the value of x, we can equate the two distances:

(x + 2) × 6 = (x - 2) × 8

Simplifying the equation:

6x + 12 = 8x - 16

16 + 12 = 8x - 6x

28 = 2x

x = 14

Therefore, the speed of the boat in still water is 14 km/h.

Answer

The speed of the boat in still water is 14 km/h.