## Task 2 - 060732

In an old collection of problems, the following problem is stated:

A hunting dog is chasing a fox that is 54 fox steps ahead. The length of 2 dog steps is exactly equal to the length of 3 fox steps. The dog takes as much time for 4 steps as the fox takes for 5 steps.

How many steps does the dog need to catch up with the fox if both start at the same time in the same direction?
The dog needs exactly as much time for 4 steps as the fox does for 5 steps. Since 4 dog steps are as long as 6 fox steps, the dog gets 1 fox step closer to the fox with every 4 steps. Consequently, the dog catches up 54 fox steps with $54 \cdot 4$ dog steps $=216$ dog steps.