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## Practice Test Discussion

Q)

A pump can fill a tank with water in 2 h. Because of a leak in the tank, it takes $2\frac{1}{3}$ h to fill the tank. The leak can empty the filled tank in___

[SSC CPO 2006, CGL 2002]

• Explanation

According to the question,

part of the tank filled by pump in 1 hour=$\frac{1}{2}$

Because of the leak, part of the tank emptied by pump in 1 hour=$\frac{1}{2\frac{1}{3}}=\frac{1}{\frac{7}{3}}=\frac{3}{7}$

part of the tank emptied by the leak in 1 hour$=\frac{1}{2}-\frac{3}{7}=\frac{7-6}{14}=\frac{1}{14}$

The tank will be emptied in 14 hours.

Hence option D is correct.

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