Question

два моторних човна перебувають на однаковій відстані від плота який рухається зі швидкістю течії річки.Одиг човен перебуває позаду плота другий попереду човни починають одночасно рухатися у напрямку плота порівняти інтерввли часу за якими човни порівняються з плотом важати що швидкості руху човнів у стоячій воді одинакові а швидкість течії незмінна.

Answer 1

It seems like you're asking about a scenario involving two motorboats and a raft moving in a river. Let's break down the problem and find a solution.

Given Information:

- Two motorboats are at the same distance from a raft, which is moving with the speed of the river's current. - One boat is behind the raft, and the other is in front of it. - Both boats start moving towards the raft simultaneously. - The speed of the boats in still water is the same, and the speed of the river's current is constant.

Solution:

To compare the times it takes for the boats to reach the raft, we can use the concept of relative motion. Since the speed of the river's current is constant, we can consider the reference frame of the river.

1. Boat Behind the Raft: - In the reference frame of the river, the boat behind the raft has to cover the distance between itself and the raft, which is the initial distance between the boat and the raft. - The speed of the boat relative to the river's current is the difference between the speed of the boat in still water and the speed of the river's current. - The time taken by the boat behind the raft to reach the raft can be calculated using the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

2. Boat In Front of the Raft: - Similarly, the boat in front of the raft has to cover the distance between itself and the raft, which is the initial distance between the boat and the raft. - The speed of the boat relative to the river's current is the sum of the speed of the boat in still water and the speed of the river's current. - The time taken by the boat in front of the raft to reach the raft can also be calculated using the same formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

By comparing the times calculated for both boats, we can determine the relationship between the times taken for the boats to reach the raft.

Let's calculate the specific times for each boat based on the given information.