Question
Pipe βAβ can fill 25% of a tank in 3 hours while
pipe βBβ takes 30 hours to empty fully filled tank. Pipe βAβ is opened alone when the tank was empty. After 9 hours, pipe βBβ is also opened. In how much time the tank will get filled this way?Solution
Time taken by pipe βAβ to fill the tank = 3/0.25 = 12 hours Let, the total capacity of the tank be 60 units Efficiency of pipe βAβ = 60/12 = 5 units/hour Efficiency of pipe βBβ = 60/30 = 2 units/hour Tank filled in 9 hours = 9 Γ 5 = 45 units Time taken by pipe βAβ and pipe βBβ to fill the remaining tank = (60 β 45)/(5 β 2) = 5 hours Therefore, total time taken = 9 + 5 = 14 hours
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