By walking at $5 \text{ km/h}$, a man reaches his office $12 \text{ minutes}$ late. By walking at $8 \text{ km/h}$, he reaches $15 \text{ minutes}$ early. Find the distance to his office.
Options:
- A: $5 \text{ km}$
- B: $6 \text{ km}$
- C: $8 \text{ km}$
- D: $10 \text{ km}$
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