Here’s how we use those words in the US:
Track (noun): a thing constructed to be walked on or used for transport. A train track, subway track, racecar track; the sport “track and field” is when runners compete in a 500m sprint or 4x100 relay race. Track can also mean footprints left by an animal.
Trail (noun): also a thing to be walked on, but it occurs in nature, not something constructed with man-made materials. You walk on a trail through the woods.
Track (verb): to follow and search for something by details
Trail (verb): to follow directly behind something
A common idiom is to “keep track” of something, or to be aware of or remember something.
Example sentences:
- She dropped her phone on the subway track and it was destroyed a minute later when the train arrived.
- The athletes ran around the track inside the stadium.
- I saw wolf tracks in the snow; the paw prints were much bigger than my dog’s.
- The hiking trail to the lake is 5 km long.
- We read a book about the infamous “trail of tears,” when 60,000 American Indians were forced to leave their native land by foot.
- He tracked the cat for 30 minutes, and eventually found where the kittens were hiding.
- The baby ducklings trailed behind their mother as they walked to the pond.
- My colleague has 10 grandchildren and I can’t keep track of their names.