Question
Pipe 'A' is 3 times as efficient as pipe 'B'. Pipe 'C',
which is one-third as efficient as pipe 'B', can fill a tank alone in 36 hours. Find difference between time taken by pipe 'C' to fill 25% of the tank and time taken (in minutes) by pipe 'A' to fill the tank completely.Solution
Let the efficiency of pipe 'C' be 'x' litres/hour.
So, total capacity of the tank = '36x' litres.
Efficiency of pipe 'A' = x × 3 × 3 = '9x' litres/hour
So, time taken by pipe 'A' to fill the tank = 36x / 9x = 4 hours
And, time taken by pipe 'C' to fill 25% of the tank = (36x × 0.25) / x = 9 hours
So, required difference = 9 - 4 = 5 hours = 5 × 60 = 300 minutes
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