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    Question

    X and Y can complete a piece of work in 20 days. They

    worked for 10 days and left. Z completed the rest of the work in 10 days. Find how long Z would take to finish 60% of the same work alone.
    A 10.8 Correct Answer Incorrect Answer
    B 32.5 Correct Answer Incorrect Answer
    C 62.5 Correct Answer Incorrect Answer
    D 28.4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Fraction of Work done by X and Y = (10/20) = (1/2)

    Fraction of work done by Z = 1 - (1/2) = (1/2)

    So, number of days taken by Z alone to complete the entire work = 10 ÷ (1/2) = 20 days

    So, time taken by Z to complete 60% of the work = 20 × 0.60 = 12 days

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