Question

# 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 $$4$$ litres per minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in $$8$$ hours, then the capacity of the tank is:

A
5260 L
B
5760 L
C
5846 L
D
6970 L

Solution

## The correct option is D $$5760$$ LWork done by the inlet in 1 hour $$= \dfrac{1}{6}.\dfrac{1}{4}=\dfrac{1}{24}$$Work done by inlet in 1 min $$=\dfrac{1}{24}\times \dfrac{1}{60}$$                                                                                         $$=\dfrac{1}{1440}$$Volume of$$\dfrac{1}{1440}$$ part$$= 4$$ litresVolume of whole = $$(1440 \times 4)$$litres=$$5760$$  litresMathematics

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