There is an empty reservoir whose capacity is 30 litres There is an inlet pipe which fills at 5 L mi...........

Quant (SSC) Pipes&cistern

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?

49.5 min

50 min

51 min

52 min

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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.