Question

Лодка и плот одновременно двинулись по реке из одного и того же пункта в одном направлении. Через три четверти часа расстояние между ними стало 450 м. С какой скоростью двигалась лодка, если плот двигался со скоростью 3 км./ч? (Выразите скорость лодки в метрах в минуту.)    

Answer 1

Problem Analysis

We are given that a boat and a raft simultaneously started moving from the same point in the same direction along a river. After three-quarters of an hour, the distance between them became 450 meters. We are also given that the raft was moving at a speed of 3 km/h. We need to find the speed of the boat in meters per minute.

Solution

Let's assume the speed of the boat is x meters per minute.

We know that the distance traveled by an object is equal to its speed multiplied by the time taken. In this case, the distance traveled by the boat in three-quarters of an hour (45 minutes) is 45x meters.

Similarly, the distance traveled by the raft in three-quarters of an hour is 45 * 3,000 = 135,000 meters.

According to the problem, the distance between the boat and the raft after three-quarters of an hour is 450 meters. This means that the boat has traveled 450 meters more than the raft.

So, we can set up the following equation:

45x - 135,000 = 450

Simplifying the equation:

45x = 135,450

Dividing both sides of the equation by 45:

x = 3,010

Therefore, the speed of the boat is 3,010 meters per minute.

Answer

The boat was moving at a speed of 3,010 meters per minute.

Note: The search results provided by You.com did not contain relevant information for this specific problem. The solution was derived using mathematical reasoning and calculations.