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

    Question

    Efficiency of a man is 50% more than that of a woman.

    (n - 10) men working 6 hours a day can complete a task in 15 days, whereas (n - 9) women working 6 hours a day can complete the same task in 20 days. Find the time taken by (n - 4) men and (n - 3) women working 10 hours a day to complete the task.
    A 2 days Correct Answer Incorrect Answer
    B 3 days Correct Answer Incorrect Answer
    C 4 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer
    E 6 days Correct Answer Incorrect Answer

    Solution

    Let the efficiency of a woman be '2e' units/day. Then, efficiency of a man = (3/2) × 2e = '3e' units/day. ATQ; (n - 10) × 6 × 15 × 3e = (n - 9) × 6 × 20 × 2e Or, 270n - 2700 = 240n - 2160 Or, 30n = 540 Or, 'n' = 18 Total work = (n - 10) × 6 × 15 × 3e = 8 × 6 × 15 × 3e = '2160e' units So, required number of days to complete the work = 2160e ÷ [(14 × 3e + 15 × 2e) × 10] = 2160e ÷ (72e × 10) = 2160e ÷ 720e = 3 days

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question