Thank you for reading. Before you answer my question, I feel I need to let you know that I'm still a beginner in special relativity...so the more thorough the answer, the better. Thank you! Alright, here goes:
Alice and Bob are moving at speed $V$ relative to one another.
Lets first look at Alice's point of view.
From Alice's point of view, Bob's clock runs slower than hers. That is, for any amount of time which Bob travels, while Alice sees herself age by $t$ years, she sees Bob age by $t\sqrt{1-\frac{v^2}{c^2}}$ years.
Let's say that Bob travels a distance $D$ as measured by Alice.
To justify the fact that Alice thinks that Bob aged less than she did as he traveled that distance $D$, she would say that from Bob's point of view, he must've only felt like he traveled a distance of $D\sqrt{1-\frac{v^2}{c^2}}$.
The reason she concludes this is because the way that the time which passes is defined is the distance which light moves away from someone divided by the velocity of light. Light must've moved less away from Bob as it did from her, and thus less time must've passed for him.
However, from Bob's point of view, it would've been Alice moving at a velocity of $V$ relative to him, he would've said that she aged by an amount of $t\sqrt{1-\frac{v^2}{c^2}}$ for any time $t$ that passed for him, and therefore he would've concluded that from her point of view the distance $D$ must've felt like $D\sqrt{1-\frac{v^2}{c^2}}$.
Does this mean that the Bob in Alice's reality and the Bob in his own reality are...two different Bobs?
Thanks