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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
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B
5760 L
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C
5846 L
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D
6970 L
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Solution

The correct option is D $$5760$$ L
Work 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$$ = 4$$ litres
Volume of whole = $$(1440 \times 4)$$litres=$$5760$$  litres

Mathematics

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