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A pipe can fill a tank in 12 hours. By mistake, a waste pipe at the bottom is leftopened and the tank is filled in 16 hours. If the tank is full, how much time will thewaste pipe take to empty it?[Hint. Portion of the tank emptied by the waste pipe in one hour-12 16 4 |
| Answer» <p>Given that the pipe can fill a tank without any leak in 12 hrs.</p><p>Work done without leak in 1 hour = 1/12.</p><p>Given that the waste pipe can fill a tank with leak in 16 hrs.</p><p>Work done with leak in 1 hour = 1/16.</p><p>Now,</p><p>Work done by leak in 1 hour = 1/12 - 1/16</p><p> = 4 - 3/48</p><p> = 1/48.</p><p>So, the total time takento empty it = 48 hours.</p> | |