Question
Pipe 'A' is 4 times as efficient as pipe 'B'. Pipe 'C',
which is one-fourth as efficient as pipe 'B', can fill a tank alone in 32 hours. Find difference between time taken by pipe 'C' to fill 50% 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 = '32x' litres.
Efficiency of pipe 'A' = x × 4 × 4 = '16x' litres/hour
So, time taken by pipe 'A' to fill the tank = 32x / 16x = 2 hours
And, time taken by pipe 'C' to fill 50% of the tank = (32x × 0.5) / x = 16 hours
So, required difference = 16 - 2 = 14 hours = 14 × 60 = 840 minutes
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