Question
Pipe A and B can fill the pool in 25 minutes and 50
minutes, respectively. Pipe C can empty half filled pool in 25 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely.Solution
Time is taken by pipe C to empty the full pool = 25 × 2 = 50 minutes Let the capacity of the pool = 50 units Number of units of water filled by pipe A alone in one minute = 50/25 = 2 units Number of units of water filled by pipe B alone in one minute = 50/50 = 1 units Number of units of water emptied by pipe C alone in one minute = 50/50 = 1 units Required time taken = 50/(2 + 1 – 1) = 25 minutes
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