Three pipes A, B and C can fill a tank in 6 hours,9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is

Three pipes A, B and C can fill a tank in 6 hours,9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is
1). 3 hours
2). 2 hours
3). $2\frac{1}{2}$ hours
4). $3\frac{1}{2}$ hours

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