Find a math problem. The distance between a dog and a rabbit is 26 steps. A dog jumps four steps, which is equivalent to a rabbit jumping nine steps and a dog jumping five steps. This rabbit can jump eight steps. How long does it take for the dog to jump up and catch the rabbit?
The distance between a dog and a rabbit is 26 steps, and a dog jumping 4 steps is equivalent to a rabbit jumping 9 steps, which means that in the same distance, the number of steps of a dog is 9/4 of that of a rabbit.
Dogs can jump five steps, rabbits can jump eight steps, that is to say, dogs can jump one step in the same time for 5/8 of that of rabbits.
It can be concluded that the speed ratio of dogs to rabbits is 45:32.
So the required time = distance ÷ speed difference =26÷(45-32)=2 steps.
We can catch up in two steps.