Question
There are 6 inlet and (x-2) outlet pipes attached to a
tank. Each inlet pipe takes 20 hours to fill the tank and each outlet pipe empties the fully filled tank in 15 hours. If all the pipes are opened together, the tank gets filled in 10 hours. Find the value of 'xSolution
Total work = 60 units (LCM of 20 and 15) Inlet efficiency = 3 unit Outlet efficiency = -4 unit Total efficiency of inlet = 6 × 3 = 18 unit Total efficiency of outlet = -4 (x – 2) = (8 – 4x) unit ATQ: => (18 + 8 – 4x) × 10 = 60 => (26 – 4x) = 60/10 => 4x = 26 – 6 = 20 => x = 5
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