Far Cry Primal is a game set in 10,000 BCE, so of course this game doesn't feature any modern automobiles or vehicles of any type, however there are rideable beasts.
Ridable beasts[]
The only ridable beasts are:
You can also ride mammoth, however they are not tamable and require a skill to ride, so does the beasts.
Speed[]
when it comes to speed the Sabertooth are the fastest, going around 100 steps per second (velocity is approximate but it gives you an idea about how fast they are) brown bears are a bit slower and then comes mammoth as the slowest because of their huge size
Durability[]
Mammoth is the most durable out of the animals, it can take alot of damage and can easily kill enemies, note that all ridable beasts including mammoth have their attacks, by pressing the attack button the beast will perform an attack animations using its claws/tusks, be careful of fall damage though as it heavily reduces the ability of mammoth to be able to fight enemies, beasts have a meter that indicates how long you can ride them, once the meter hits zero the beasts will be downed and you will have to revive them, feed your beast regularly to keep its stamina.