10. A hunting dog, ten steps in front of it is a rabbit. The distance the rabbit runs in nine steps equals the distance the dog runs in five steps, and the time the rabbit takes to run three steps equals the time the dog takes to run two steps. How many steps does the dog need to run to catch up with the rabbit?
【Answer】60
【Analysis】Key point: Hunting dog chasing rabbit
The distance the rabbit runs in 9 steps equals the distance the dog runs in 5 steps, and within the time the rabbit runs 9 steps, the dog can run 6 steps. Originally, the distance between the dog and the rabbit is equivalent to 10 steps the dog needs to run. Within the time the rabbit runs 9 steps and the dog runs 6 steps, the distance between the two animals shortens by $6-5=1$, which is the distance of 1 step the dog runs. $10 \div 1=10$, so the dog needs to run $6 \times 10=60$ steps to catch up with the rabbit.