Question
Pipe A fills a tank in 60 minutes, and pipe B can do it
in 90 minutes. There’s also a pipe C that drains the tank in 180 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank?Solution
ATQ,
Let the total capacity of tank be 180 litres (LCM of 60, 90 and 180) Efficiency of A = 180 ÷ 60 = 3 litres/minute Efficiency of B = 180 ÷ 90 = 2 litres/minute Efficiency of C = 180 ÷ 180 = –1 litre/minute Net efficiency = 3 + 2 – 1 = 4 litres/minute Required time = 180 ÷ 4 = 45 minutes
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