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

    Question

    'X' and 'Y' together can complete the work in 24 days.

    'Y' alone can complete the work in 40 days. If Z is 33.33% more efficient than X, find the time taken by 'Z' alone to finish the work.
    A 30 days Correct Answer Incorrect Answer
    B 32 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 45 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 240 units Combined efficiency of 'X' and 'Y' = (240/24) = 10 units/day Efficiency of 'Y' alone = (240/40) = 6 units/day Efficiency of 'X' alone = 10 - 6 = 4 units/day Efficiency of 'Z' = 4 X (4/3) = (16/3) units/day Time taken by 'Z' alone to finish the work = 240 ÷ (16/3) = (240 X 3)/16 = 45 days

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question