Question
Pipe 'A' is twice as efficient as pipe 'B'. Pipe 'C', which
is one-third as efficient as pipe 'B', can fill a tank alone in 27 hours. Find difference between time taken by pipe 'C' to fill 33.33% 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 = '27x' litres.
Efficiency of pipe 'A' = x Ă— 3 Ă— 2 = '6x' litres/hour
So, time taken by pipe 'A' to fill the tank = 27x / 6x = 4.5 hours
And, time taken by pipe 'C' to fill 33.33% of the tank = (27x Ă— 1/3) / x = 9 hours
So, required difference = 9 - 4.5 = 4.5 hours = 4.5 Ă— 60 = 270 minutes
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