Question
An inlet pipe can fill an empty tank in 36 minutes
whereas an outlet pipe can empty the fully filled tank in 54 minutes. Find the time taken by both the pipes together to fill half of the empty tank.Solution
Let the total capacity of tank be 108 litres (LCM of 36 and 54)
Efficiency of inlet pipe = (108/36) = 3 litres/minute
Efficiency of outlet pipe = (108/54) = -2 litres/minute
Required time = (0.5 × 108) ÷ (3 - 2) = 54 minutes
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