Explanation : Let pipe B alone take b hours longer than if both
A and B were open.
8 = √(4 × x)
⇒ 64 = 4 × x
⇒ x = 16 hours.
Alternatively
Part filled if both A and B are open = 1/8
Part filled if only A is open = 1/12
∴ Part filled if only B is open = (1/8) - (1/12) = 1/24
∴ B alone would take 24 hours, i.e., B alone would
take 24 - 8 = 16 hours longer to fill the tank.