Walking at $5 \text{ km/h}$, a student reaches his school $7 \text{ minutes}$ late. If he walks at $6 \text{ km/h}$, he reaches $5 \text{ minutes}$ early. What is the distance to the school?
Options:
- A: $4 \text{ km}$
- B: $5 \text{ km}$
- C: $6 \text{ km}$
- D: $7 \text{ km}$
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