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Q: There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity?

  • 1
    49.5 min
  • 2
    50 min
  • 3
    51 min
  • 4
    52 min
  • Show Answer
  • Workspace

Answer : 3. "51 min"
Explanation :

Answer: C) 51 min Explanation: The work to be done = Capacity of reservoir  = 30 litres.  1st Minute ---> inlet pipe opened ---> 5 lit filled  2nd minute ---> inlet pipe closed; outlet pipe opened ---> 4 lit emptied   In 2 minutes (5 litres - 4 litres = 1lit) is filled into the reservoir. It takes 2 minutes to fill 1lit ---> it takes 50 minutes to fill 25 litres into the reservoir.     In the 51st minute inlet pipe is opened and the reservoir is filled.

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