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    Question

    ‘n’ men working 20 hours a day can complete a work in 8 days while (6n – 4) men working 10 hours a day can complete the same work in 8 days. In how many days can (n + 4) men working 16 hours a day complete the same work?

    A 3 days Correct Answer Incorrect Answer
    B 7 days Correct Answer Incorrect Answer
    C 2 days Correct Answer Incorrect Answer
    D 6 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question,
    (n × 20 × 8) = {(6n – 4) × 10 × 8}
    => 2n = 6n – 4
    => n = 1
    Let the number of days taken by (n + 4) = 5 men be ‘x’ days
    Therefore,
    (1 × 20 × 8) = (5 × 16 × x)
    Therefore, x = 2 days

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