Question
Pipe X and Y can fill a tank alone in 18 minutes and 24
minutes respectively. If all three pipes X, Y and Z together fill the tank in 8 minutes, find the time taken by pipe Z alone.Solution
ATQ, Let the total capacity of tank be 72 litres (LCM of 18, 24 and 8) Efficiency of X = 72 ÷ 18 = 4 litres/minute Efficiency of Y = 72 ÷ 24 = 3 litres/minute Combined efficiency of X, Y and Z = 72 ÷ 8 = 9 litres/minute So, efficiency of Z = 9 − 4 − 3 = 2 litres/minute Required time = 72 ÷ 2 = 36 minutes
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