Question

    To construct a house, 18 workers laboring 5 hours daily

    complete the job in 22 days. If the workforce increases to 24 workers, each working 7.5 hours per day, how many days will it take to finish the same house?
    A 14 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 11 days Correct Answer Incorrect Answer
    D 15 days Correct Answer Incorrect Answer

    Solution

    Let the efficiency of a man = 'x' units/hour So, total work taken to build a house = 18 X x X 5 X 22 = '1980x' units So, number of days taken by 24 men working 7.5 hours a day to build the house = 1980x ÷ (24 X x X 7.5) = 1980x ÷ 180x = 11

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