Question
Pipe βAβ takes 20 hours to fill a tank. Pipe βBβ
takes 80 hours to empty the same tank. If both are opened together, then how long will it take to fill 75% of the tank?Solution
Let the capacity of the tank be 160 litres.So, efficiency of pipe βAβ = 160 Γ· A = 8 litres/hour And efficiency of pipe βBβ = 160 Γ· B = 2 litres/hour So, combined efficiency of both pipes = 8 β 2 = 6 litres/hour So, time taken to fill 75% of the tank = (160 Γ 0.75) Γ· 6 = 120 Γ· 6 = 20 hours
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