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

Correct answer: B. 5760 liters

  • A. 5260 liters
  • B. 5760 liters
  • C. 5846 liters
  • D. 6970 litersAccessing Digital Reference Tools

Explanation

If the tank capacity is C litres, the leak empties C/6 litres per hour. The inlet supplies 4 x 60 = 240 litres per hour, and with both acting the tank empties in 8 hours, so 240 - C/6 = -C/8. Thus 240 = C/24 and C = 5760 litres. The common trap is 480 litres, obtained by ignoring that the inlet is open while the leak acts.

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