Question

Pipe ‘A’ can fill a 210-litre tank in 15 hours. If pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient than pipe ‘C’, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.

A 240 minutes Correct Answer Incorrect Answer
B 180 minutes Correct Answer Incorrect Answer
C 300 minutes Correct Answer Incorrect Answer
D 210 minutes Correct Answer Incorrect Answer
E 150 minutes Correct Answer Incorrect Answer

Solution

According to Question;  Efficiency of pipe ‘A’ = (210/15) = 14 litres/hour  Efficiency of pipe ‘C’ = 14 ÷ 1.25 = 11.2 litres/hour  Efficiency of pipe ‘B’ = 11.2 × 1.5 = 16.8 litres/hour  Time taken by all the pipes together to fill the tank = {210/(14 + 11.2 + 16.8)} = (210/42) = 5 hours  Or, time taken by all three pipes together to fill the tank = 5 × 42 = 210 minutes  

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