Question
Two pipes 'P' and 'Q' together can fill a tank in 16
minutes while 'Q' alone can fill the tank in 24 minutes. How much time does pipe 'P' alone need to fill the tank?Solution
Let the total capacity of the tank be 48 litres. {LCM (16 and 24)} So, the efficiency of pipe 'Q' = 48 ÷ 24 = 2 litres/minute Combined efficiency of pipe 'P' and 'Q' = 48 ÷ 16 = 3 litres/minute So, the efficiency of 'P' = 3 - 2 = 1 litre/minute So, the required time = 48 ÷ 1 = 48 minutes
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