Question
Pipe A and B can fill the pool in 20 minutes and 24
minutes, respectively. Pipe C can empty half filled pool in 20 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completelySolution
Time taken by pipe C to empty the full pool = 20 × 2 = 40 minutes Let the capacity of pool = 120 units Number of units of water filled by pipe A alone in one minute = 120/20 = 6 units Number of units of water filled by pipe B alone in one minute = 120/24 = 5 units Number of units of water emptied by pipe C alone in one minute = 120/40 = 3 units Required time taken = 70/(6 + 5 – 3) = 15 minutes
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