How does a Buddhist care for others' suffering? Please forgive me, I know really little about buddhism. From what I heard, the Buddhist will try to find relief from suffering by meditation and trying to be selfless. But what about others that are suffering? Does the Buddhist value more attaining enlightenment for himself or helping others in need? Also what if others do not have the skills to practice to go towards enlightenment? Is the Buddhist concerned?
I'd like to understand more the relationship between the Buddhist and the suffering of other people.
When a person is sick, due to knowing they are sick, they act to visit a doctor. To be a doctor, a person must study medicine at university for at least 5 years, before they can help sick people.

Similarly, a person who is suffering must, via their own initiative, seek out a solution. Similarly, to be a Buddhist that can help others end suffering, a person must train for enlightenment. 

An enlightened Buddhist makes themselves available to help others. However, others must learn to help themselves by following the advice of Buddhism.