Two pipes A and B fill a tank in 30 minutes and 60 minutes respectively. A pipe C at the bottom can empty the tank in 120 minutes. If all three pipes were open simultaneously, how long does it take to fill the empty tank?
Answers
Answer:
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Step-by-step explanation:
=> Pipe A fills 1/30th of the tank in a minute.
=> Pipe B fills 1/60th of the tank in a minute.
=> Pipe C drains 1/120th of the tank in a minute.
=> Therefore,
=> if all three are open then, (1/30 + 1/60 – 1/120)th of the tank will be filled in a min. i.e. 1/24 th of the tank will be filled in a minute.
=>Therefore, the tank will be filled in 24 minutes.
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Step-by-step explanation:
Pipe A fills 1/30th of the tank in a minute.
Pipe B fills 1/60th of the tank in a minute.
Pipe C drains 1/120th of the tank in a minute.
Therefore, if all three are open then, (1/30 + 1/60 – 1/120)th of the tank will be filled in a min. i.e. 1/24 th of the tank will be filled in a minute.
Therefore, the tank will be filled in 24 minutes.