Question

A leak in the bottom of the tank can empty the full tank in 18 hours. An inlet pipe fills water at the rate of 12 liters a minutes. When the tank is full, the inlet is opened and due to the leak the tank is empty in 24 hours. The capacity of the tank is?

A 17280 liter Correct Answer Incorrect Answer
B 34560 liter Correct Answer Incorrect Answer
C 51840 Liter Correct Answer Incorrect Answer
D 69120 Liter Correct Answer Incorrect Answer
E 42360 Liter Correct Answer Incorrect Answer

Solution

Work done by Inlet in 1 hour = 1/18- 1/24 = 1/72 Work done by Inlet in 1 minute = 1/72 × 1/60 =1/4320 Volume of 1/4320 part = 12 litres Volume of the tank = 12 × 4320 = 51840 litres.

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