A tank has a leak which would empty it in 8 h. A tap is

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A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?

1. 4320 L
2. 4000 L
3. 2250 L
4. 4120 L

Correct Option: A

Work done by the inlet in 1 h = (1/8 - 1/24) = 1/24
Work done by the inlet in 1 min = 1/24 x 1/60 = 1/1440
∴ Volume of 1/1440 part = 3 L
∴ Volume of the whole = 3 x 1440 = 4320 L