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    Question

    Armaan can complete a task in 36 days, Bittu in 45 days,

    and Chirag in 60 days. If Bittu and Chirag together work on the task for 10 days, how many additional days will Armaan need to complete the remaining work by himself?
    A 7 Correct Answer Incorrect Answer
    B 22 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    One day work of Bittu = 1/45, C = 1/60
    Together in 1 day => 1/45 + 1/60 = 7/180
    In 10 days => 7/180 × 10 = 7/18
    Remaining work = 1 – 7/18 = 11/18
    Armaan’s one day work = 1/36
    Time for A to do 11/18 => (11/18) ÷ (1/36) = 11/18 × 36 = 22

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