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

    Question

    "A" can finish a task by himself in 30 days. "B" is

    twice as efficient as "C" and three times more efficient than "A". If "A" and "C" begin the task together, after how many days should "B" take over to ensure the task is completed in precisely 11 days?
    A 6 days Correct Answer Incorrect Answer
    B 4 days Correct Answer Incorrect Answer
    C 5 days Correct Answer Incorrect Answer
    D 7 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 60 units. So, efficiency of 'A' = 60 ├╖ 30 = 2 units/day So, efficiency of 'B' = 3 X 2 = 6 units/day And efficiency of 'C' = 6 ├╖ 2 = 3 units/day Let the number of days for which 'B' worked alone be 'd'. So, (d X 6) + (11 - d) X (2 + 3) = 60 Or, 6d + 55 - 5d = 60 Or, 'd' = 5 So, 'B' worked alone for 5 days So, 'B' should've joined them after (11 - 5) = 6 days

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question