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    Question

    Tap тАШAтАЩ and tap тАШBтАЩ can fill a tank in 48 hours

    and 30 hours, respectively. If both taps are opened together, then find the time after which tap тАШAтАЩ must be closed so the whole tank can be filled in 20 hours.
    A 16 hours Correct Answer Incorrect Answer
    B 18 hours Correct Answer Incorrect Answer
    C 14 hours Correct Answer Incorrect Answer
    D 32 hours Correct Answer Incorrect Answer
    E 12 hours Correct Answer Incorrect Answer

    Solution

    Let total capacity of the tank is 240 litres (LCM of 48 and 30) Quantity of water filled by tap тАШAтАЩ in one hour = 240/48 = 5 litres Quantity of water filled by tap тАШBтАЩ in one hour = 240/30 = 8 litres Let tap тАШAтАЩ is closed after тАШxтАЩ hours So, 13 ├Ч x + 8 ├Ч (20 тАУ x) = 240 Or, 5x = 80 Or, x = 16┬аhours

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