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

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

A8460 L

B4320 L

C8640 L

D4230 L

Answer:

C. 8640 L

Read Explanation:

Work done by leak in 1 hour = 1/8 Total work done by both pipes in 1 hour = 1/12 Work done by the pipe in 1 h = (1 / 8 – 1 / 12) = 1 / 24 Work done by the pipe in 1 min = 1 / 24 × 1 / 60 = 1 / 1440 Volume of 1 / 1440 part = 6L Volume of the whole cistern = 6 × 1440 = 8640

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