A leak in the bottom of a tank can empty the full tank in 3 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?  Pick.
A) 7580
B) 7960
C) 8290
D) 1440
E) none

Rationale: "solution work done by the inlet in 1 hour = ( 1 / 3 - 1 / 12 ) = 1 / 4 work done by the inlet in 1 min . = ( 1 / 4 × 1 / 60 ) = 0.004167 volume of 0.004167 part = 6 litres . therefore , volume of whole = 0.004167 x 6 ‹ = › 1440 litres . answer d"
Answer: D