Question
Pipe A and pipe B can fill the empty tank in 18 hours and
30 hours respectively, whereas pipe C can empty the full tank in ‘x’ hours. Find the value of ‘x’ if pipes A, B and C together can fill the empty tank in 12 hours.Solution
Let the capacity of the tank = 180 liters (LCM of 18, 30, and 12)
Amount of water filled by pipe A in one hour = 180 ÷ 18 = 10 liters
Amount of water filled by pipe B in one hour = 180 ÷ 30 = 6 liters
Amount of water filled by pipes A, B and C together in one hour = 180 ÷ 12 = 15 liters
Amount of water taken by pipe C alone in one hour = 10 + 6 – 15 = 1 liter
Time taken by pipe C alone to empty the tank = 180 ÷ 1 = 180 hours
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