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    Question

    Pipes 'G' and 'H' can fill a tank in 15 and 20 minutes

    respectively. A leak opens when the tank is half full, removing (2/7)th of the water supplied. What is the total time to fill the tank?
    A 10.29 Correct Answer Incorrect Answer
    B 11.25 Correct Answer Incorrect Answer
    C 9.75 Correct Answer Incorrect Answer
    D 10.75 Correct Answer Incorrect Answer

    Solution

    Capacity = 60 litres (LCM of 15 and 20)
    'G' = 60 ├╖ 15 = 4 litres/min
    'H' = 60 ├╖ 20 = 3 litres/min
    Time to fill half = 30 ├╖ (4 + 3) = 30 ├╖ 7 = 4.29 minutes
    Effective rate = (5/7) ├Ч 7 = 5 litres/min
    Time to fill remaining = 30 ├╖ 5 = 6 minutes
    Total time = 4.29 + 6 = 10.29 minutes

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