Question
Pipe 'M' and 'N' can fill a tank in 2 hours and 1 hour
20 minutes respectively. 'M' is opened alone. After 30 minutes, 'M' is closed and 'N' is opened. Find the time taken by 'N' to fill the remaining tank.Solution
Let the total capacity of tank be 240 litres (LCM of 120 and 80) Efficiency of 'M' = (240/120) = 2 litres/minute Efficiency of 'N' = (240/80) = 3 litres/minute Tank filled by 'M' = 2 × 30 = 60 litres Remaining part of the tank = 240 − 60 = 180 litres Required time = (180/3) = 60 minutes
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