Question
Pipe βAβ can fill a tank in 10 hours whereas pipe
βBβ can empty it in 20 hours. If both pipes are opened together while pipe βBβ is closed after 4 hours, then find the time taken by pipe βAβ to fill the rest of the tank.Solution
ATQ; Let the capacity of the tank be 20 litres. {LCM (10 and 20)} Efficiency of inlet pipe βAβ = (20/10) = 2 litres/hour Efficiency of outlet pipe βBβ = (20/20) = 1 litre/hour Combined efficiency of both pipes = (2 β 1) = 1 litre/hour Required time = {20 β (1 Γ 4)} Γ· 2 = 8 hours
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