Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet?

Well, I don't know.
Let's figure it out together.
The best way to do that is to compare their unit rates:

The first woman's unit rate is  (60 ft / 10 sec)

                                             = (60 / 10) (ft/sec) = 6 ft/sec .

The second woman's unit rate is  (25 ft / 5 sec)

                                                =   (25 / 5) (ft/sec) = 5 ft/sec .

Now we can see that the first woman walks 1 ft/sec faster
than the second one does.