Question

решите задачу: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 метров.С какой скоростью двигалась лодка,если плот двигался со скоростью 3 км/ч?(выразите скорость лодки в метрах в минуту

Answer 1

3/4 часа*3 км=2,25 км проплыл плот.

лодка проплыла 2,25+0,45=2,7 км за 3/4 часа


2,7*4/3=3,6 км

Answer 2

Problem Analysis

We are given that a boat and a raft started moving simultaneously 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 need to find the speed of the boat, given that the raft was moving at a speed of 3 km/h.

Solution

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

We know that the raft was moving at a speed of 3 km/h, which is equivalent to 3000 meters per hour or 50 meters per minute.

After three-quarters of an hour (45 minutes), the distance between the boat and the raft became 450 meters.

To solve this problem, we can use the formula:

Distance = Speed × Time

The time taken by both the boat and the raft is the same, which is 45 minutes.

For the boat: Distance = x × 45

For the raft: Distance = 50 × 45

Since the distance between them is 450 meters, we can set up the equation:

x × 45 = 50 × 45 + 450

Simplifying the equation:

x × 45 = 2250 + 450

x × 45 = 2700

Dividing both sides of the equation by 45:

x = 2700 / 45

x = 60

Therefore, the speed of the boat is 60 meters per minute.

Answer

The boat was moving at a speed of 60 meters per minute.

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