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    Question

    Aman and Rohan can finish a job alone in 12 days and 30

    days respectively. Aman began the task alone. After how many days should Rohan join him so that the entire work is done in 10 days?
    A 2 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 60 units (LCM of 12 and 30)

    Efficiency of Aman = (60 / 12) = 5 units/day

    Efficiency of Rohan = (60 / 30) = 2 units/day

    Let the time after which Rohan joins be 'n' days.

    So, 5n + (5 + 2) × (10 - n) = 60

    ⇒ 5n + 70 - 7n = 60

    ⇒ 2n = 10

    ⇒ n = 5

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