A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being closed, only 7/8 of the full quantity of water flows through the former and only 5/6 through the latter pipe

A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being closed, only 7/8 of the full quantity of water flows through the former and only 5/6 through the latter pipe. The obstruction however being suddenly removed the cistern is filled in 3 min from that moment. How long was it before the full flow began?
1). 2.5 min
2). 4.5 min
3). 3.5 min
4). 5.5 min

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