A leak in the bottom of a tank can empty the | vedclass

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(D) Let the total capacity of the tank be $V$ litres.Rate of the leak $= \frac{V}{8}$ litres per hour.Rate of the inlet pipe $= 6 	imes 60 = 360$ lit

Vedclass · Accepted Answer

$8640$

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(D) Let the total capacity of the tank be $V$ litres.Rate of the leak $= \frac{V}{8}$ litres per hour.Rate of the inlet pipe $= 6 	imes 60 = 360$ litres per hour.When the tank is full and both are active,the net rate of emptying is $\frac{V}{12}$ litres per hour.Therefore,the net rate is given by: $	ext{Leak rate} - 	ext{Inlet rate} = 	ext{Net emptying rate}$.$\frac{V}{8} - 360 = \frac{V}{12}$.$\frac{V}{8} - \frac{V}{12} = 360$.$\frac{3V - 2V}{24} = 360$.$\frac{V}{24} = 360$.$V = 360 	imes 24 = 8640$ litres.Thus,the tank holds $8640$ litres.

$A$ leak in the bottom of a tank can empty the full tank in $8$ $hours$. An inlet pipe fills water at the rate of $6$ $litres$ a minute. When the tank is full,the inlet pipe is opened and due to the leak,the tank is empty in $12$ $hours$. How many litres does the tank hold?

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