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    Question

    Pipe ‘A’ can fill a 120-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

    Solution

    According to Question;  Efficiency of pipe ‘A’ = (120/15) = 8 litres/hour  Efficiency of pipe ‘C’ = 8 ÷ 1.25 = 6.4 litres/hour  Efficiency of pipe ‘B’ = 6.4 × 1.5 = 9.6 litres/hour  Time taken by all the pipes together to fill the tank = {120/(8 + 6.4 + 9.6)} = (120/24) = 5 hours  Or, time taken by all three pipes together to fill the tank = 5 × 60 = 300 minutes  

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