If a man travels at $10 \text{ km/h}$, he reaches his destination at $2 \text{ PM}$. If he travels at $15 \text{ km/h}$, he reaches at $12 \text{ noon}$. At what speed should he travel to reach exactly at $1 \text{ PM}$?
Options:
- A: $11 \text{ km/h}$
- B: $12 \text{ km/h}$
- C: $13 \text{ km/h}$
- D: $14 \text{ km/h}$
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