$A$ person can row a certain distance downstream in $6$ $hours$ and return the same distance in $9$ $hours.$ If the stream flows at the rate of $2 \frac{1}{4} \text{ km/h},$ find how far he can row in an hour in still water (in $\text{km/h}$).
- A$10 \frac{1}{4}$
- B$11 \frac{1}{4}$
- C$12 \frac{1}{4}$
- D$13 \frac{1}{4}$
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