Question
A pipe can fill a tank in 6 hours, while another pipe
can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?Solution
Work done by the filling pipe in one hour = 1/6. Work done by the emptying pipe in one hour = 1/8. Net work done in one hour = (1/6 - 1/8). Finding a common denominator (24): = (4 - 3) / 24 = 1/24. Time taken to fill the tank = 24 hours. Correct option: c) 24 hours
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