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

    Question

    'Manoj' can complete some work alone in 40 days. 'Sohan'

    is twice as efficient as 'Rohan' and five times as efficient as 'Manoj'. If 'Manoj' and 'Rohan' start working together, then after how many days should 'Sohan' replace them so that the work gets completed in exactly 15 days?
    A 5 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 9 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total work be 120 units. Efficiency of 'Manoj' = 120 ├╖ 40 = 3 units/day Efficiency of 'Sohan' = 5 X 3 = 15 units/day Efficiency of 'Rohan' = 15 ├╖ 2 = 7.5 units/day Let the number of days for which 'Sohan' worked alone be 'd'. So, (d X 15) + (15 - d) X (3 + 7.5) = 120 Or, 15d + 157.5 - 10.5d = 120 Or, 'd' = 6 So, 'Sohan' worked alone for 6 days 'Sohan' should've joined them after (15 - 6) = 9 days

    Practice Next
    More Time and work Questions

    Relevant for Exams:

    ask-question

    Not sure which exam is best for you Talk to our expert

    Get My Free Call