Compulsive overworking and eating disorders (EDs) show considerable similarities in terms of risk factors (e.g., rigid perfectionism), clinical manifestation (e.g., excessive controlling behaviors), and consequences (e.g., physical exhaustion and depression). This study aimed to examine the hypotheses that compulsive study behaviors (conceptualized as study addiction) are related to EDs and that they have independent negative effects on well-being among young musicians, who constitute a highly vulnerable population for these types of problematic behaviors. The relatively high prevalence of study addiction and its pronounced negative relationship with psychosocial functioning make it a pending challenge for sustainable education. A total of 255 students from various music academies in Poland took part in the study. The Bergen Study Addiction Scale, assessing compulsive studying (conceptualized as addictive behavior), the Eating Attitude Test-26 (EAT-26), the Perceived Stress Scale, the Hospital Anxiety and Depression Scale, and the quality-of-life measure were used. A structural equation model was investigated. Study addiction was positively related to the general factor of EDs and the social pressure component. Both problematic behaviors showed negative and independent effects on the well-being of young musicians. EDs may be 8 to 16 times more prevalent among the students of music academies who are addicted to studying than among the general population. About 80% of those students showing all seven symptoms of study addiction exhibited at least mild depression, while more than half had clinically significant levels of depression. Almost 90% had clinically significant levels of anxiety. Without addressing co-occurring study addiction and eating disorders, including their commonalities and idiosyncrasies, their prevention and treatment cannot be effective and it will substantially affect the sustainability of education and work.