Question
Pipe 'X' and 'Y' can fill a tank in 1 hour and 1 hour
30 minutes respectively. 'X' is opened alone. After 18 minutes, 'X' is closed and 'Y' is opened. Find the time taken by 'Y' to fill the remaining tank.Solution
Let the total capacity of tank be 180 litres (LCM of 60 and 90) Efficiency of 'X' = (180/60) = 3 litres/minute Efficiency of 'Y' = (180/90) = 2 litres/minute Tank filled by 'X' = 3 × 18 = 54 litres Remaining part of the tank = 180 − 54 = 126 litres Required time = (126/2) = 63 minutes
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