Question
A and B can fill a tank in 9 hours and 18 hours
respectively. Pipe C can empty it in ‘x’ hours. If all three pipes are opened, the tank is filled in 4 hours. Find x.Solution
Let the capacity of the tank = 36 liters (LCM of 9, 18, and 4)
Amount of water filled by pipe A in one hour = 36 ÷ 9 = 4 liters
Amount of water filled by pipe B in one hour = 36 ÷ 18 = 2 liters
Amount of water filled by pipes A, B and C together in one hour = 36 ÷ 4 = 9 liters
Amount of water taken by pipe C alone in one hour = 4 + 2 – 9 = 3 liters
Time taken by pipe C alone to empty the tank = 36 ÷ 3 = 12 hours
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