Question

Верёвка разрезана на 4 части. длина первой части 28 м, она короче второй на 5 м и длиннее третьей части на 7 м. третья часть короче четвёртой на 9 м. Найдите первоначаную длину верёвки.

Answer 1

Первая часть = 28м
Вторая часть = 28+5=33м
Третья часть = 28-7=21м
Четвёртая часть = 21+9=30м
Значит вся веревка длиной = 28+33+21+30=112м

Answer 2

Problem Analysis

We are given a rope that has been cut into 4 parts. The length of the first part is 28 meters, which is 5 meters shorter than the second part and 7 meters longer than the third part. The third part is 9 meters shorter than the fourth part. We need to find the original length of the rope.

Solution

Let's denote the length of the first part as x. According to the given information: - The second part is 5 meters longer than the first part, so its length is x + 5. - The third part is 7 meters shorter than the first part, so its length is x - 7. - The fourth part is 9 meters longer than the third part, so its length is (x - 7) + 9 = x + 2.

The sum of the lengths of all four parts should be equal to the original length of the rope. Therefore, we can write the equation:

x + (x + 5) + (x - 7) + (x + 2) = original length

Simplifying the equation:

4x = original length

To find the original length, we need to find the value of x.

Solving for x

Let's solve the equation to find the value of x:

4x = original length

Since we don't have the exact values of the lengths of the rope parts, we cannot determine the exact original length of the rope.

However, we can solve for x in terms of the original length. Dividing both sides of the equation by 4, we get:

x = original length / 4

So, the length of the first part of the rope is one-fourth of the original length.

Conclusion

The original length of the rope cannot be determined without knowing the exact lengths of the individual parts. However, we can conclude that the length of the first part is one-fourth of the original length.