Khachaturyan M.A.

The length of an adult worm is 1 meter. If a worm is adult, it can be cut into two parts in any ratio of lengths. As a result, two new worms are obtained, which immediately start growing at a rate of 1 meter per hour each. When the length of a worm reaches a meter, it becomes an adult and stops growing. Can you get 10 adult worms from one adult worm faster than in an hour?
At the moment $\frac{1}{2^{10}}$ (hours) from the start of the procedure, cut off $\frac{1}{2^{10}}$ meters from the worm. At the moment $\frac{1}{2^{9}}$ from the grown part, cut off $\frac{1}{2^{9}}$ meters. At the moment $\frac{1}{2^{8}}$, cut off $\frac{1}{2^{8}}$ meters, ..., at the moment $\frac{1}{2}$, cut the adult worm in half. By the end of the hour, all the cut pieces will have become adult worms. In this process, only $1-\frac{1}{2^{10}}$ hours have passed since the first cut.

## Answer

It is possible.