A tank can be filled by one pipe in 8 hours and emptied by another pipe in 12 hours. How long will it take to fill the tank if both pipes are opened together?
Given:
Time taken to fill the tank = 8 hours
Time taken to empty the tank = 12 hours
Formula Used:
Net work rate = Rate of filling - Rate of emptying
Solution:
Work done by the filling pipe in 1 hour =
Work done by the emptying pipe in 1 hour =
Net work done in 1 hour when both are open =
Net work done =
Therefore, the tank will be completely filled in 24 hours.
Final Answer
So the correct answer is (d)
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