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A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?

Correct answer: B. 5,760 litres

  • A. 5,750 litres
  • B. 5,760 litres
  • C. 6,890 litres
  • D. None of these

Explanation

Let the tank capacity be V litres. The leak removes V/6 litres per hour, while the inlet supplies 4 litres per minute = 240 litres per hour; when both operate, the net emptying rate is V/8 litres per hour. Hence V/6 - 240 = V/8, so V(1/6 - 1/8) = 240 and V/24 = 240, giving V = 5,760 litres. The likely mistake is 5,750 litres, caused by inaccurate subtraction or division.

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