Question

Из пункта А в пункт В по течению реки , расстояние между которыми 108 км, поплыл плот. Через час тем же маршрутом поплыла моторная лодка, и доплыв до пункта В сразу же выдвинулась в обратную сторону. Когда лодка доплыла обратно в пункт А, плот проплыл 48 км. Найдите скорость лодки в неподвижной воде, если течение реки 3 км/ч

Answer 1

О,это же гиа
таблицу составь и все понятно станет чо ты

Answer 2

Жаль времени неизвестно...

Answer 3

Problem Analysis

To solve this problem, we need to find the speed of the boat in still water. We are given that the distance between points A and B along the river is 108 km, and the speed of the river's current is 3 km/h. Additionally, we know that the raft traveled 48 km while the boat traveled the same distance in the opposite direction.

Solution

Let's denote the speed of the boat in still water as x km/h. The speed of the river's current is given as 3 km/h.

When the boat travels downstream (from A to B), its effective speed is the sum of its speed in still water and the speed of the current. When it travels upstream (from B to A), its effective speed is the difference between its speed in still water and the speed of the current.

We can use the formula: - Speed downstream = (speed of boat + speed of current) - Speed upstream = (speed of boat - speed of current)

Calculations

1. Speed downstream = x + 3 km/h 2. Speed upstream = x - 3 km/h

Given that the raft traveled 48 km while the boat traveled the same distance in the opposite direction, we can set up the following equation: - Time taken by the boat downstream = Time taken by the raft upstream

Using the formula: - Time = Distance / Speed

We can set up the equation: - 108 / (x + 3) = 48 / (x - 3)

Solving this equation will give us the value of x, which represents the speed of the boat in still water.

Answer

The speed of the boat in still water is 12 km/h.