멀다(meol-da, meolda)
An adjective indicating that the distance is far or something is distant
When to use
physical distance, temporal distance, relational distance
The nuance
멀다 is used for actual physical distance or temporal distance, mainly to express spatial, temporal, or relational distance.
가깝다(ga-kkap-da, gakkapda)
An adjective indicating that the distance is short or something is near
When to use
physical distance, temporal distance, intimate relationship
The nuance
가깝다 is used when the physical or temporal distance is short; it can also express closeness in relationships or proximity of places.