Question
Two inlet pipes 'A' and 'B' can fill an empty tank in 25
minutes and 50 minutes, respectively. Another outlet pipe 'C' can empty the tank in 100 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 100 litres (LCM of 25, 50, and 100).
Efficiency of 'A' = 100 ÷ 25 = 4 litres/minute
Efficiency of 'B' = 100 ÷ 50 = 2 litres/minute
Efficiency of 'C' = 100 ÷ 100 = -1 litre/minute
Required time = 100 ÷ (4 + 2 - 1) = 100 ÷ 5 = 20 minutes
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