Question

Моторная лодка проплывает некоторое расстояние по озеру за 6 ч,а по течению реки то же расстояние-за 5 ч.За сколько часов такое же расстояние проплывет плот?

Answer 1

1 к\ч скорость течения реки

Answer 2

1 км/ч скорость течения реки

Answer 3

Problem Analysis

We are given that a motorboat can travel a certain distance across a lake in 6 hours and the same distance along a river in 5 hours. We need to determine how long it would take for a raft to travel the same distance.

Solution

Let's assume the distance the motorboat travels is d.

According to the given information: - The motorboat can travel distance d across the lake in 6 hours. - The motorboat can travel distance d along the river in 5 hours.

To find the speed of the motorboat, we can use the formula:

Speed = Distance / Time

Let's calculate the speed of the motorboat across the lake and along the river.

Speed of the Motorboat Across the Lake

The motorboat can travel distance d across the lake in 6 hours. Therefore, the speed of the motorboat across the lake is:

Speed across the lake = d / 6

Speed of the Motorboat Along the River

The motorboat can travel distance d along the river in 5 hours. Therefore, the speed of the motorboat along the river is:

Speed along the river = d / 5 Since the distance is the same in both cases, we can equate the two speeds:

d / 6 = d / 5

To find the time it would take for the raft to travel the same distance, we need to find the reciprocal of the speed of the raft. Let's call this time t.

Time for the raft = 1 / Speed of the raft

We can substitute the speed of the raft with the speed of the motorboat along the river, since they are the same:

Time for the raft = 1 / (d / 5) = 5 / d

Therefore, the time it would take for the raft to travel the same distance is 5 / d.

Answer

The raft would take 5 / d hours to travel the same distance.

Please note that the exact value of the time depends on the specific distance d traveled by the motorboat, which is not provided in the question.