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    Question

    'A' and 'B' can finish a task together in 30 days. They

    worked together for 18 days and then left. The rest of the task was done by 'C' in 12 days. How many days will 'C' alone take to complete 75% of the total task?
    A 12.5 days Correct Answer Incorrect Answer
    B 22.5 days Correct Answer Incorrect Answer
    C 42.4 days Correct Answer Incorrect Answer
    D 55.4 days 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' 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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