📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    ‘A’ is 50% less productive compared to ‘B’, who

    is 20% more productive than ‘C’. Together, they can finish a task in 36 days. After ‘B’ and ‘C’ have worked on the task for 24 days, they stop. How long will it take for ‘A’ to finish the remaining work alone?
    A 72 days Correct Answer Incorrect Answer
    B 54 days Correct Answer Incorrect Answer
    C 48 days Correct Answer Incorrect Answer
    D 60 days Correct Answer Incorrect Answer
    E 80 days Correct Answer Incorrect Answer

    Solution

    Let efficiency of ‘B’ is ‘x’ units per day
    Efficiency of ‘A’ = 0.50 × x = 0.5x units per day
    Efficiency of ‘C’ = x/1.20 = 0.833x units per day
    Total amount of work = (x + 0.5x + 0.833x) × 36 = 84x units
    Amount of work completed by ‘B’ and ‘C’ in 24 days = (x + 0.833x) × 24 = 43.99x ≈ 44x units
    Remaining work = 84x – 44x = 40x units
    Desired time = 40x / 0.5x = 80 days

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question