Question
Pipe A and Pipe B can fill a tank in 10 hours and 12 hours
respectively. Pipe C can empty the tank in ‘x’ hours. If all three pipes are opened together, the tank fills in 5 hours. Find the value of ‘x’.Solution
Let the capacity of the tank = 60 liters (LCM of 10, 12, and 5)
Amount of water filled by pipe A in one hour = 60 ÷ 10 = 6 liters
Amount of water filled by pipe B in one hour = 60 ÷ 12 = 5 liters
Amount of water filled by pipes A, B and C together in one hour = 60 ÷ 5 = 12 liters
Amount of water taken by pipe C alone in one hour = 6 + 5 – 12 = 1 liter
Time taken by pipe C alone to empty the tank = 60 ÷ 1 = 60 hours
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