The maximum demand at a water purification plant has been estimated as $12$ million litres per day. For the raw supplies, a rectangular sedimentation tank is to be designed with mechanical sludge removal arrangement. Consider depth of the tank as $4$ m, detention period as $6$ hours, and velocity of flow as $0.003 \mathrm{~m} / \mathrm{s}$.
The width (in m ) of the detention tank is $\_\_\_\_$ (rounded off to two decimal places).