Question
Pipe βAβ takes 50 hours to fill a tank. Pipe
βBβ takes 100 hours to empty the same tank. If they are opened together, how long will it take to fill 80% of the tank?Solution
Let the capacity of the tank be 200 litres. So, efficiency of pipe βAβ = 200 Γ· A = 4 litres/hour And efficiency of pipe βBβ = 200 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 = (200 Γ 0.80) Γ· 2 = 160 Γ· 2 = 80 hours
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