UP TGT Mathematics Commercial Mathematics Test Series - Part 4

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 liters per...

Type: MCQ • Marks: 1
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 liters per minute. When the tank is full, the inlet is opened and due to the leak, the tank is emptied in 12 hours. What is the capacity of the tank?
Options
A. 1) 7200 liters
B. 2) 9600 liters
C. 3) 8640 liters
D. 4) 10800 liters
Explanation
Leak rate = 1/8 tank/hr. Combined rate = 1/12 tank/hr. Inlet rate = 1/8 - 1/12 = 1/24 tank/hr. So inlet fills the tank in 24 hours. Rate = 6 liters/min = 360 liters/hour. Capacity = 24 * 360 = 8640 liters.
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