A pipe can fill a tank in 12 hours. By mistake, a waste pipe at the bo

1.	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» Given that the pipe can fill a tank without any leak in 12 hrs. Work done without leak in 1 hour = 1/12. Given that the waste pipe can fill a tank with leak in 16 hrs. Work done with leak in 1 hour = 1/16. Now, Work done by leak in 1 hour = 1/12 - 1/16 = 4 - 3/48 = 1/48. So, the total time takento empty it = 48 hours.

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»

Given that the pipe can fill a tank without any leak in 12 hrs.

Work done without leak in 1 hour = 1/12.

Given that the waste pipe can fill a tank with leak in 16 hrs.

Work done with leak in 1 hour = 1/16.

Now,

Work done by leak in 1 hour = 1/12 - 1/16

= 4 - 3/48

= 1/48.

So, the total time takento empty it = 48 hours.