Ex.2. A tank has a leak which K has...

Ex.2. A tank has a leak which K has a leak which would empty the com- Lcly filled tank in 10 hours. If the tank is full of water and a tap is opened which admILS res of water per minute in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold ? (1) 2400 l (2) 45001 (3) 1200 L (4) 72001

11th - 12th Class
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Sol. (4) Let the capacity of the tank ( =x ) litres According to the question, Quantity of water emptied by the leak in 1 hour ( =frac{x}{10} ) litres Qunatity of water filled by the tap in 1 hour ( = ) 240 litres According to the question, ( frac{x}{10}-frac{x}{15}=240 Rightarrow frac{3 x-2 x}{30}=240 ) ( Rightarrow frac{x}{30}=240 Rightarrow x=240 times 30=7200 ) litres
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