Question
There are 8 inlet and (x-4) outlet pipes attached to a
tank. Each inlet pipe takes 24 hours to fill the tank, and each outlet pipe empties the fully filled tank in 18 hours. If all the pipes are opened together, the tank gets filled in 9 hours. Find the value of 'x'.Solution
ATQ, Total work = 72 units (LCM of 24 and 18) Inlet efficiency = 3 units Outlet efficiency = -4 units Total efficiency of inlet = 8 × 3 = 24 units Total efficiency of outlet = -4 (x – 4) = (16 – 4x) units ATQ: => (24 + 16 – 4x) × 9 = 72 => (40 – 4x) = 72/9 => 4x = 40 – 8 => x = 8
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