Question
Two inlet pipes 'A' and 'B' can fill an empty tank in 24
minutes and 32 minutes, respectively. Another outlet pipe 'C' can empty the tank in 96 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 96 litres (LCM of 24, 32, and 96).
Efficiency of 'A' = 96 ÷ 24 = 4 litres/minute
Efficiency of 'B' = 96 ÷ 32 = 3 litres/minute
Efficiency of 'C' = 96 ÷ 96 = -1 litre/minute
Required time = 96 ÷ (4 + 3 - 1) = 96 ÷ 6 = 16 minutes
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