Ivan the Tsarevich went to look for Vasilisa the Beautiful, who had been kidnapped by Koschei. On his way, he met the Forest Spirit.

- I know, - he said, - the way to Koschei's Kingdom. I have been there before. I walked for four days and four nights. In the first day and night, I covered a third of the way - a straight path to the north. Then I turned west, and for a day and night, I struggled through the forest, covering half as much. On the third day and night, I walked through the forest to the south and came out onto a straight road leading to the east. I walked 100 versts along it in a day and night and arrived in Koschei's Kingdom. You are as quick a walker as I am. Go, Ivan the Tsarevich, and you might be a guest of Koschei by the fifth day.
- No, - replied Ivan the Tsarevich, - if everything is as you say, then I will see my Vasilisa the Beautiful already tomorrow.

Is he right? How many versts did the Forest Spirit walk, and how many does Ivan the Tsarevich think he will walk?
Try to draw the path of the Leshy.

## Solution

The path of the Leshy is shown in the figure.

![](https://cdn.mathpix.com/cropped/2024_05_06_acc13965d0370bfc03dcg-31.jpg?height=180&width=192&top_left_y=1225&top_left_x=933)

Ivan the Tsarevich can only travel $1 / 3$ of the Leshy's path - $1 / 6$ to the north and $1 / 6$ to the east. This path is 100 versts, and on a good road, Ivan the Tsarevich can travel it in a day.

## Answer

Correct; 300 versts; 100 versts.