Question
Pipe ‘A’ can fill a tank in 22 hours while pipe
‘B’ takes 25 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 16 hours pipe ‘B’ is also opened. In how much time will the tank get filled completely?Solution
Let the total capacity of the tank be 550 units Efficiency of pipe ‘A’ = 550/22 = 25 units/hour Efficiency of pipe ‘B’ = 550/25 = 22 units/hour Tank filled in 16 hours = 16 × 25 = 400 units Therefore, required time taken to fill the remaining tank = (550 – 400)/(25 – 22) = 50 hours Therefore, total time taken = 16 + 50 = 66 hours
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