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
More Pipes and cisterns Questions
- Pipe P can fill a cistern in 12 hours and pipe Q in 20 hours. If both the pipes are opened in an empty cistern, how much time will they take to fill it?
- Pipe A can fill a tank in 6 hours, pipe B in 8 hours, and pipe C can empty it in 12 hours. All three are opened together for 2 hours, after which pipe C is...
- Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 4 hours while pipe ‘C’ takes 25 hours to empty it. Pipe &lsqu...
- Pipe L can fill a pool in 30 hours and pipe M in 45 hours. If both the pipes are opened in an empty pool, how much time will they take to fill it?
- If a tank can be filled by a tap in 14 hours, but due to an outlet, it actually takes 7 hours longer to fill the tank, find the duration in which the outle...
- Pipe ‘A’ can fill a tank in 30 hours while pipe ‘B’ can empty it in 40 hours. They were operated on alternate hours starting with pipe ‘A’. Find the percen...
- Tap A can fill a tank in 9 hours. Tap B can fill 37.5% part of the same tank in 3 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 2/5 part of the...
- Pipe ‘A’ takes 15 minutes to fill a tank. Pipe ‘B’ takes 20 minutes to empty the same tank. If pipe ‘B’ is opened 12 mi...
- There are 16 taps which are fitted in a tank .In which some are inlet pipes and some are Outlet pipes .Each inlet tap has the efficiency to fill the tank...
- A and B fill a tank in 6 and 8 hours. Pipe C empties it in ‘x’ hours. All three open together fill the tank in 4 hours. Find x.
Relevant for Exams:
