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    Question

    'M' alone finishes a project in 30 days. 'M' and 'N'

    together can complete the same project in 16(2/3) days. How many days would 'N' need to do the project alone?
    A 37.5 days Correct Answer Incorrect Answer
    B 50.5 days Correct Answer Incorrect Answer
    C 15.5 days Correct Answer Incorrect Answer
    D 23.4 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let 16(2/3) = 50/3 Let the total work be 150 units (LCM of 30 and 50/3) Efficiency of M = 150 ÷ 30 = 5 units/day Combined efficiency of M and N = 150 ÷ (50/3) = 9 units/day So, efficiency of N = 9 - 5 = 4 units/day Therefore, time taken by N = 150 ÷ 4 = 37.5 days

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