Question
Pipe βAβ takes 24 hours to fill a tank. Pipe βBβ
takes 72 hours to empty the same tank. If both are opened together, how long will it take to fill 66.67% of the tank?Solution
Let the capacity of the tank be 216 litres. So, efficiency of pipe βAβ = 216 Γ· A = 9 litres/hour And efficiency of pipe βBβ = 216 Γ· B = 3 litres/hour So, combined efficiency of both pipes = 9 β 3 = 6 litres/hour So, time taken to fill 66% of the tank = (216 Γ 0.67) Γ· 6 = 144 Γ· 6 = 24 hours
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