Question

верёвку длиной 63 метра разрезали на два куска так, что 0,4 длины первого куска были равны 0,3 длины второго кускаю. найдите длину каждого куска верёвки.

Answer 1

Problem Analysis

We are given a rope that is 63 meters long and it is cut into two pieces. The length of the first piece is 0.4 times the length of the second piece. We need to find the length of each piece.

Solution

Let's assume the length of the first piece is x meters. According to the problem, the length of the second piece is 0.3 times the length of the first piece.

We can set up the following equation to represent the relationship between the lengths of the two pieces:

x + 0.3x = 63

Simplifying the equation, we have:

1.3x = 63

To find the value of x, we can divide both sides of the equation by 1.3:

x = 63 / 1.3

Now we can calculate the value of x:

x ≈ 48.4615 meters

So, the length of the first piece is approximately 48.4615 meters.

To find the length of the second piece, we can multiply the length of the first piece by 0.3:

0.3 * 48.4615 ≈ 14.5385 meters

Therefore, the length of the second piece is approximately 14.5385 meters.

Answer

The length of the first piece of rope is approximately 48.4615 meters,