Question
Two pipes 'X' and 'Y' can fill a tank in 24 minutes and
36 minutes, respectively, while a pipe 'Z' can empty the tank in 72 minutes. If all three pipes are opened simultaneously, how much time (in seconds) will it take to fill the tank?Solution
ATQ,
Let the capacity of tank be 72 litres (LCM of 24, 36, and 72)
Efficiency of 'X' = 72 ÷ 24 = 3 litres/minute
Efficiency of 'Y' = 72 ÷ 36 = 2 litres/minute
Efficiency of 'Z' = 72 ÷ 72 = 1 litre/minute (outlet)
Required time = 72 ÷ (3 + 2 - 1)
= 72 ÷ 4 = 18 minutes = 18 × 60 = 1,080 seconds
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