Question
Pipe āAā can fill a 210-litre tank in 21 hours. If
pipe āAā is 25% more efficient than pipe āCā whereas pipe āBā is 50% more efficient than pipe āCā, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.Solution
According to Question;Ā Efficiency of pipe āAā = (210/21) = 10 litres/hourĀ Efficiency of pipe āCā = 10 Ć· 1.25 = 8 litres/hourĀ Efficiency of pipe āBā = 8 Ć 1.5 = 12 litres/hourĀ Time taken by all the pipes together to fill the tank = {210/(10 + 8 + 12)} = (210/30) = 7 hoursĀ Or, time taken by all three pipes together to fill the tank = 7 Ć 60 = 420 minutesĀ Ā
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