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Correct Answer: 6 minutes

The ratio of the diameters of Pipe A and Pipe B is 1 : 2.

Therefore, the ratio of the rate of flow of water through A and B is 1 : 4

And the ratio of the time for Pipe A and Pipe B to fill a given capacity is 4 : 1.

If Pipe A can fill the tank in 40 minutes, then Pipe B will fill it in 10 minutes.

Together, the two pipes can fill 1/40+1/10=1+4/10=1/8th of tank in a minute.

They will take 8 minutes to fill tank.

Hence, to fill 34th of the tank, the two pipes will take 3/4×8 = 6minutes.