# 3. Clone 1

A rope was divided into 19 equal parts and arranged in a snake-like pattern. After that, a cut was made along the dotted line. The rope split into 20 pieces: the longest of them is 8 meters, and the shortest is 2 meters. What was the length of the rope before it was cut? Express your answer in meters.

![](https://cdn.mathpix.com/cropped/2024_05_06_1f50971f08007f421b41g-04.jpg?height=483&width=714&top_left_y=2100&top_left_x=725)
Answer: 114

Solution

Let's find the length of each of the 19 equal parts into which the rope was divided. To do this, we need to add the shortest piece to half of the longest piece obtained after the cut. We get $8 / 2 + 2 = 6$. Then the total length of the rope is $19 \cdot 6 = 114$ meters.

## Clone 2

A rope was divided into 19 equal parts and laid out in a snake-like pattern. After that, a cut was made along the dotted line. The rope split into 20 pieces: the longest of which is 8 meters, and the shortest is 1 meter. What was the length of the rope before it was cut? Express your answer in meters.

![](https://cdn.mathpix.com/cropped/2024_05_06_1f50971f08007f421b41g-05.jpg?height=485&width=714&top_left_y=777&top_left_x=725)

Answer: 95

## Clone 3

A rope was divided into 19 equal parts and laid out in a snake-like pattern. After that, a cut was made along the dotted line. The rope split into 20 pieces: the longest of which is 10 meters, and the shortest is 2 meters. What was the length of the rope before it was cut? Express your answer in meters.

![](https://cdn.mathpix.com/cropped/2024_05_06_1f50971f08007f421b41g-05.jpg?height=491&width=714&top_left_y=1799&top_left_x=725)

## Answer: 133

## Clone 4

A rope was divided into 19 equal parts and laid out in a snake-like pattern. After that, a cut was made along the dotted line. The rope split into 20 pieces: the longest of which is 10 meters, and the shortest is 3 meters. What was the length of the rope before it was cut? Express your answer in meters.

![](https://cdn.mathpix.com/cropped/2024_05_06_1f50971f08007f421b41g-06.jpg?height=485&width=714&top_left_y=277&top_left_x=725)

Answer: 152