Question
Pipes A and B can fill the tank in 16 and 20 hours
respectively. Pipe C empties it in ‘x’ hours. If all are opened together, the tank gets filled in 8 hours. Find ‘x’.Solution
Let the capacity of the tank = 80 liters (LCM of 16, 20, and 8)
Amount of water filled by pipe A in one hour = 80 ÷ 16 = 5 liters
Amount of water filled by pipe B in one hour = 80 ÷ 20 = 4 liters
Amount of water filled by pipes A, B and C together in one hour = 80 ÷ 8 = 10 liters
Amount of water taken by pipe C alone in one hour = 5 + 4 – 10 = 1 liter
Time taken by pipe C alone to empty the tank = 80 ÷ 1 = 80 hours
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