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    Question

    A contractor undertook to make 20 km of roadway in 48

    weeks. In 28 weeks, 8 km was completed by 120 men working 12 hours a day. The men then agreed to work 3 hour a day overtime and some women were engaged to assist them, the work was finished in the stipulated time. How many women were employed, if the work of 8 men is equal to that of 5 women.
    A 45 Correct Answer Incorrect Answer
    B 51 Correct Answer Incorrect Answer
    C 62 Correct Answer Incorrect Answer
    D None of the above Correct Answer Incorrect Answer

    Solution

    8M = 5W So M/W = 5/8 By M1D1H1/W1 = M2D2H2/W2 (120M ├Ч 12 ├Ч 28)/8 = [(120M + xW) ├Ч 15 ├Ч 20]/12 (120├Ч5 ├Ч 12 ├Ч 28)/8 = [(120├Ч5┬а+ x├Ч8) ├Ч 15 ├Ч 20]/12 28├Ч3├Ч12 = 600 +8x ┬а 8x = 1008 - 600 = 408┬а So x = 408/8 = 51

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