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    Question

    'S' alone does a work in 18 days. 'T' is 50% more efficient

    than 'S'. Both work together but 'S' leaves after 6 days. Find the number of days 'T' will take to finish the remaining work.
    A 10 days Correct Answer Incorrect Answer
    B 2 days Correct Answer Incorrect Answer
    C 18 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let efficiency of 'S' = '6x' units/day

    Efficiency of 'T' = 6x × (1.5) = 9x units/day

    Total work = 6x × 18 = 108x units

    Work done in 6 days = (6x + 9x) × 6 = 90x units

    Remaining work = 108x - 90x = 18x units

    Time by 'T' = 18x ÷ 9x = 2 days

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