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Bunuel
A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. How many litres does the cistern hold?

A. 7580
B. 7960
C. 8290
D. 8640
E. 8840

if leak empties cistern in 8 hours,
in 12 hours it empties 1 1/2 cisterns
extra half cistern must come from tap:
6 lpm*60m*12h*2 halves=8640 litres cistern capacity
D
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The new inlet provides 6 L per minute of freshwater. This would mean that in 60 minutes it would provide 360 L of freshwater. This would mean that in 12 hours, it is equal to provide 4320 L of freshwater. Since the freshwater is reducing the time to be emptied by 50%, we will double the amount of freshwater.
4320 x 2 = 8640
Ans -Option D

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Just check which option divides 8 and 12 both, Answer is D
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Total work = 24 units

A = 24/8 = 3 units
A + B = 24/12 = 2 units
3 - x = 2
B = -1 unit in an hour

In 24 hours B will do 24 units of work
capacity = 24*6*60 = 8640 litres
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