Question
Pipes A and B can fill a tank in 12 hours and 16 hours
respectively, while pipe C can empty the full tank in ‘x’ hours. If all three pipes are opened together, the tank gets filled in 8 hours. Find the value of ‘x’.Solution
Let the capacity of the tank = 48 liters (LCM of 12, 16, and 8)
Amount of water filled by pipe A in one hour = 48 ÷ 12 = 4 liters
Amount of water filled by pipe B in one hour = 48 ÷ 16 = 3 liters
Amount of water filled by pipes A, B and C together in one hour = 48 ÷ 8 = 6 liters
Amount of water taken by pipe C alone in one hour = 4 + 3 – 6 = 1 liter
Time taken by pipe C alone to empty the tank = 48 ÷ 1 = 48 hours
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