A tank of volume 0.30 m and height 1.5 m has water flowing in at 0.06 m/min. The outlet flow rate is governed by the relation Four-0.2 h, where h is the height of water in the tank in meter and Fout is the outlet flow rate in m/min. The inlet flow rate is changes suddenly from its nominal value of 0.06 m/min to 0.16 m/min and remains there. Determine the time (in minutes) at which the tank will begin to overflow. [8M]