A ship $55$ kms, from the shore springs a leak which admits $2$ tonnes of water in $6$ min; $80$ tonnes would suffer to sink her, but the pumps can throw out $12$ tonnes an hour. Find the average rate of sailing that she may just reach the shore as she begins to sink.
- $5.5$ km/h
- $6.5$ km/h
- $7.5$ km/h
- $8.5$ km/h