Question

Первый кусок провода в шесть раз короче второго,а второй кусок провода на 125 метров длиннее первого.Найдите длину каждого.

Answer 1

Первый кусок провода - это одна часть провода

Решение:
1) 1 * 6 = (6 (частей) провода - это второй кусок
2) 6 - 1 = 5 (частей) провода, на которые приходится 125 м
3) 125 : 5 = 25 (м) провода приходится на одну часть, это 1-ый кусок
4) 25 * 6 = 150 (м)
Ответ: 25 м - это первый кусок провода
         150 м - это второй кусок.

Answer 2

Problem Analysis

We are given two pieces of wire, where the first piece is six times shorter than the second piece. Additionally, the second piece is 125 meters longer than the first piece. We need to find the length of each piece of wire.

Solution

Let's assume the length of the first piece of wire is x meters. According to the problem statement, the second piece of wire is six times longer than the first piece, so its length is 6x meters. Additionally, the second piece is 125 meters longer than the first piece, so we can set up the following equation:

6x = x + 125

To solve this equation, we can subtract x from both sides:

6x - x = 125

Simplifying the equation, we get:

5x = 125

Now, we can solve for x by dividing both sides of the equation by 5:

x = 125 / 5 = 25

Therefore, the length of the first piece of wire is 25 meters.

To find the length of the second piece of wire, we can substitute the value of x into the equation:

6x = 6 * 25 = 150

Therefore, the length of the second piece of wire is 150 meters.

Answer

The length of the first piece of wire is 25 meters, and the length of the second piece of wire is 150 meters.