Question
A leak in the bottom of a tank can empty the full tank in 8 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 he leak, the tank is empty in 12 hours. How many litres does the cistern hold ?
Answer: Option D
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Work done by the inlet in 1 hour = `(1/8 - 1/12) = 1/24`
Work done by he inlet in 1 min. = `(1/24 xx 1/60) = 1/1440`
`:.` Volume of `1/1440` part of 6 litres.
`:.` Volume of whole = (1440 x 6) litres = 8640 litres.
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