Exams › IBPS PO › Quantitative Aptitude
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2\(\tfrac{1}{3}\) hours to fill the tank. The leak can drain all the water from the tank in:
- 4\(\tfrac{1}{3}\) hours
- 7 hours
- 8 hours
- 14 hours
Correct answer: 14 hours
Solution
The pump alone fills the tank in 2 hours, so its rate is \(1/2\) tank per hour. With the leak, the tank is filled in \(2\tfrac{1}{3}=7/3\) hours, so the net rate is \(3/7\) tank per hour. Hence leak rate = \(1/2-3/7=1/14\), so the leak alone empties the tank in 14 hours.
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