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    Question

    Workers A and B can finish a task in 30 days when

    working together. They worked for 18 days, and then C completed the rest of the task alone in 12 days. How many days will C alone take to finish 75% of the work?
    A 22.5 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 A and B = 18 / 30 = 3/5

    Fraction of work done by C = 1 - 3/5 = 2/5

    So, number of days taken by C alone to complete the entire work = 12 ÷ (2/5) = 30 days

    So, time taken by C to complete 75% of the work = 30 × 0.75 = 22.5 days

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