Question
Pipe βAβ takes 10 minutes to fill a tank. Pipe
βBβ takes 20 minutes to empty the same tank. If pipe βBβ is opened 5 minutes after pipe βAβ, then find the total time taken to fill the tank in this manner.Solution
Let the capacity of the tank be β20β litres {LCM (10, 20)} Efficiency of pipe βAβ = (20/10) = 2 litres/minute Efficiency of pipe βBβ = (20/20) = 1 litres/minute Quantity of water filled by pipe βAβ in 5 minutes = 5 Γ 2 = 10 litres Quantity of water to be filled = 20 β 10 = 10 litres Time taken by pipe βAβ and βBβ together to fill 10 litres of water = {10/(2 β 1)} = 10 minutes Total time taken = 5 + 10 = 15 minutes
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