Question
Two inlet pipes 'A' and 'B' can fill an empty tank in 36
minutes and 48 minutes, respectively. Another outlet pipe 'C' can empty the tank in 144 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.Solution
Let the total capacity of the tank be 144 litres (LCM of 36, 48, and 144).
Efficiency of 'A' = 144 ÷ 36 = 4 litres/minute
Efficiency of 'B' = 144 ÷ 48 = 3 litres/minute
Efficiency of 'C' = 144 ÷ 144 = -1 litre/minute
Required time = 144 ÷ (4 + 3 - 1) = 144 ÷ 6 = 24 minutes
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