Question
A and B can fill a tank in 25 and 30 hours respectively.
C empties it in ‘x’ hours. With all three open, the tank is filled in 15 hours. Find ‘x’.Solution
Let the capacity of the tank = 150 liters (LCM of 25, 30, and 15)
Amount of water filled by pipe A in one hour = 150 ÷ 25 = 6 liters
Amount of water filled by pipe B in one hour = 150 ÷ 30 = 5 liters
Amount of water filled by pipes A, B and C together in one hour = 150 ÷ 15 = 10 liters
Amount of water taken by pipe C alone in one hour = 6 + 5 – 10 = 1 liter
Time taken by pipe C alone to empty the tank = 150 ÷ 1 = 150 hours
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