2. A dog from point $A$ chased a fox, which was 30 m away from the dog at point $B$. The dog's jump is 2 m, the fox's jump is 1 m. The dog makes 2 jumps, while the fox makes 3 jumps. At what distance from point $A$ will the dog catch the fox?
Solution. In one unit of time, the dog runs $2 \cdot 2=4$ (m), and the fox runs $3 \cdot 1=3$ (m), which means that in one unit of time, the dog catches up to the fox by 1 m. The distance of 30 m will be covered in 30 units of time.

Answer. $120 \mathrm{~m}$.