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    Question

    45 people can repair a road in 10 days working 6 hours a

    day. In how many days can 30 people working 6 hours a day complete the same work?
    A 10 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 15 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    Let the hourly efficiency of 1 person be ‘x’ units/hour
    Then, total work = 45x × 10 × 6 = 2700x
    So, number of days taken by 30 people working 6 hours a day to complete the same work
    = 2700x ÷ (30x × 6) = 15 days

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