Question

Вертолёт пролетает за один час 1/8 расстояния между островами. Самолёт за один час пролетает 1/6 этого же расстояния. На какую часть этого расстояния в час будут отдаляться вертолёт и самолёт, если они полетят в одном направлении? Запиши ответ обыкновенной дробью, используя символ «/».

Answer 1

Ответ: 1/24

Пошаговое решение ;: хз но ответ верный))

Answer 2

Problem Analysis

We are given that a helicopter flies 1/8 of the distance between two islands in one hour, while a plane flies 1/6 of the same distance in one hour. We need to determine the fraction of the distance by which the helicopter and the plane will separate from each other if they fly in the same direction.

Solution

To solve this problem, we can find the difference in the distances covered by the helicopter and the plane in one hour. Since they are flying in the same direction, the difference will represent the fraction of the distance by which they are separating.

Let's calculate the distances covered by the helicopter and the plane in one hour.

The helicopter covers 1/8 of the distance between the islands in one hour, which can be represented as 1/8.

The plane covers 1/6 of the distance between the islands in one hour, which can be represented as 1/6.

To find the difference, we subtract the fraction representing the distance covered by the helicopter from the fraction representing the distance covered by the plane:

1/6 - 1/8

To subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 6 and 8 is 24.

Converting the fractions to have a common denominator of 24:

1/6 = 4/24

1/8 = 3/24

Now, we can subtract the fractions:

4/24 - 3/24 = 1/24

Therefore, the helicopter and the plane will separate by 1/24 of the distance between the islands in one hour if they fly in the same direction.

Answer

If the helicopter and the plane fly in the same direction, they will separate by 1/24 of the distance between the islands in one hour.

Example Calculation

Let's consider an example to illustrate the solution.

Suppose the distance between the islands is 24 kilometers.

In one hour, the helicopter will cover 1/8 of the distance, which is 24 * (1/8) = 3 kilometers.

In one hour, the plane will cover 1/6 of the distance, which is 24 * (1/6) = 4 kilometers.

Therefore, the helicopter and the plane will separate by 4 - 3 = 1 kilometer in one hour.

This matches our calculated result of 1/24 of the total distance.

Conclusion

In conclusion, if the helicopter and the plane fly in the same direction, they will separate by 1/24 of the distance between the islands in one hour.