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    Question

    12 men take 6 days to complete a piece of work. They

    worked for a period of 2 days. After that, they were joined by 4 more men. How many more days will be taken by them to complete the remaining work?
    A 3 days Correct Answer Incorrect Answer
    B 6 days Correct Answer Incorrect Answer
    C 4 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    12 men = 6 days Work done by 12 men in one day = 1/6┬а Work done by 12 men in 2 days = 1/6 ├Ч 2 = 1/3┬а Remaining work = 1 - 1/3 = 2/3 Now, 4 men joined them Therefore, 2/3 rd of work is done by 16 men in x days We have the formula, M1 ├Ч D1 / W1 = M2 ├Ч D2 / W2 Here, M1 = 12, D1 = 2 and W1 = 1/3 M2 = 16, D2 = x and W2 = 2/3┬а (12 ├Ч 2)/(1/3) = (16 ├Ч x)/(2/3) x = 3 days┬а ALTERNATE SHORTCUT METHOD M1 ├Ч D1 = M2 ├Ч D2┬а 12 ├Ч 6 = 12 ├Ч 2 + (12 + 4) ├Ч x 72 = 24 + 16 x 48 = 16 x So x = 3days

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