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    Question

    ‘n’ men working 16 hours a day can complete a work in 10 days while (2n – 4) men working 10 hours a day can complete the same work in 9 days. In how many days can (n + 6) men working 12 hours a day complete the same work?

    A 3 days Correct Answer Incorrect Answer
    B 5 days Correct Answer Incorrect Answer
    C 2 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question,
    (n × 16 × 10) = {(2n – 4) × 10 × 9}
    => 16n = 18n – 36
    => n = 18
    Let the number of days taken by (n + 6) = 24 men be ‘x’ days
    Therefore,
    (18 × 16 × 10) = (24 × 10 × x)
    Therefore, x = 10 days

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