If the time taken by pipe A is 27 hours more than time taken by A + B together and pipe B takes 12 hours more than the time taken by A + B together, then find the time taken by pipe A to fill the tank.

45 h

Time taken by A+B = \(\sqrt {27 × 12 }\)

                            = \(\sqrt {324}\) = 18

Time taken by A = 18 + 27 = 45