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Due to leakage in a tank, it empties in 6 hours. An inlet pipe fills the water at 4 litres per minute. If the tank is full and inlet is opened the tank empties in 8 hours because of the leakage. What is the capacity of the tank in litres?

  • A.5780 litres
  • B.5770 litres
  • C.5760 litres
  • D.5750 litres

Answer: C

Work done by the inlet in 1 hour =

1/6−1/8=1/24

Work done by inlet in 1 min=1/24∗1/60=1/1440

=>Volume of 1/1440 part

= 4 liters
Volume of whole = (1440 * 4) litres = 5760 litres.

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