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

    'A' and 'B' can complete a piece of work in 10 days, 'B'

    and 'C' can complete the work in 16 days, and 'A' and 'C' can complete the work in 20 days. Find the time taken by 'B' to complete 50% of the work. (Answer should be rounded off to the nearest integer)
    A 10 days Correct Answer Incorrect Answer
    B 13 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total work be 80 units (LCM of 10, 16, and 20). Combined efficiency of 'A' and 'B' =(80/10) = 8 units/day Combined efficiency of 'B' and 'C' = (80/16) =5 units/day Combined efficiency of 'A' and 'C' =(80/20) = 4 units/day So, combined efficiency of 'A', 'B', and 'C' = [(8+5+4)/2] = 8.5 units/day And, efficiency of 'B' = 8.5 - 4 = 4.5 units/day Therefore, required time ={(0.5├Ч80)/4.5} = 9 days

    Practice Next
    More Time and work Questions
    ask-question