Multiple Choice Questions on A man is Thrice as fast as a woman and a woman is twice as fast as a boy in doing a work If all of t........... for Mathematics - All Exams Preparation

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    A man is Thrice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 9 days, in how many days a boy will do it alone ?

    81 days

    Correct Answer

    9 days

    Incorrect Answer

    6 days

    Incorrect Answer

    27 days

    Incorrect Answer
    Explanation:

    According to the question, 1 man ≡ 3 women ≡ 6 boys
    1 man + 1 woman + 1 boys = (6 + 2 + 1) boys = 9 boys
    Applying the chain-rule formula M1D1 = M2D2
    ⇒  9 × 9 = 1 × D2
    ⇒  D2 = 81 days


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