Your answer would be correct, depending on what you want to say:
"Mientras viajaba aprendió mucho sobre la cultura de la gente" means that during his/her trip (one-time event), that person learnt about people's culture.
"Mientras viajaba aprendÃa mucho sobre la cultura de la gente", means that he/she would learn from people's culture every time he/she travelled (a habit).
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