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Question

A leak in the bottom of a tank can empty it in 6 hours. A pipe fills the tank at the rate of 4 liters per minute. When the tank is full, the inlet is opened but leak emptied the tank in 8 hours. What is the capacity of the tank?

A
5260 L
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B
5670 L
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C
5946 L
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D
5760 L
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Solution

The correct option is D 5760 L
Part emptied by the leak in 1 hr=16
Net part emptied by the leak and the inlet pipe in 1 hr=18
Part fill by the inlet pipe in 1 hr=1618=124

i.e inlet pipe fills the tank in 24 hr=24×60=1440min.
According to the question inlet pipe fills water at the rate of 4 liters per minute.
Hence, water fills in 1440 min=1440×4=5760L

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