ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    тЪб Month End Offer - Flat 52% Off On All Courses! Enroll Now тЪб
    00:00:00 AM Left

    Question

    'Sita' can complete some work alone in 20 days. 'Geeta'

    is twice as efficient as 'Reeta' and three times as efficient as 'Sita'. If 'Sita' and 'Reeta' start working together, then after how many days should 'Geeta' replace them so that the work gets completed in exactly 8 days?
    A 5 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 8 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sita's rate = 1/20 Geeta = 3 ├Ч Sita тЖТ 3/20 Geeta = 2 ├Ч Reeta тЖТ Reeta = 3/40 Sita + Reeta = 1/20 + 3/40 = (2 + 3)/40 = 1/8 Let Geeta join after x days: Work by Sita & Reeta = x ├Ч 1/8 = x/8 Work by Geeta = (8 тИТ x) ├Ч 3/20 Total work = 1: x/8 + (8 тИТ x) ├Ч 3/20 = 1 тЖТ (тИТ x + 48)/40 = 1 тЖТ x = 8 Hence, Geeta should replace them after 8 days (i.e., not needed at all)

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question