Question
Pipe βAβ fills a tank in 25 hours, and pipe βBβ
empties it in 50 hours. If both are opened together, how much time will it take to fill 80% of the tank?Solution
Let the capacity of the tank be 100 litres.So, efficiency of pipe βAβ = 100 Γ· A = 4 litres/hour And efficiency of pipe βBβ = 100 Γ· B = 2 litres/hour So, combined efficiency of both pipes = 4 β 2 = 2 litres/hour So, time taken to fill 80% of the tank = (100 Γ 0.80) Γ· 2 = 80 Γ· 2 = 40 hours
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