Question
Pipes A and B can fill an empty tank in 20 hours and 24 hours, respectively, while pipe C can drain the full tank in "x" hours. If all three pipes (A, B, and
- C are opened together and can fill the tank in 15 hours, determine the value of "x."
Solution
Let the capacity of the tank = 120 liters (LCM of 20, 24 and 15) Amount of water filled by pipe A in one hour = 120 ÷ 20 = 6 liters Amount of water filled by pipe B in one hour = 120 ÷ 24 = 5 liters Amount of water filled by pipes A, B and C together in one hour = 120 ÷ 15 = 8 liters Amount of water taken by pipes C alone in one hour = 6 + 5 – 8 = 3 liters Time taken by pipe C alone to empty the tank = 120 ÷3 = 40 hours
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