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    Question

    If Pritam takes two times the time that Sameer takes or

    three times the time that Vikas takes to finish a task, and all three working together can complete it in 6 days, how much time will Sameer need to complete the task alone?
    A 6 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let time taken by Pritam alone to finish the work = 6x

    Time taken by Sameer alone to finish the work = 3x

    Time taken by Vikas alone to finish the work = 2x

    Let total work = LCM of 6x, 3x, and 2x = 6x

    Part of work done by Pritam, Sameer, and Vikas alone in 1 day is 1 unit, 2 units, and 3 units respectively.

    Total time taken to finish the task by all the 3 persons together = 6

    6x / (1 + 2 + 3) = 6

    x = 3

    Time taken by Sameer alone to finish the work = 3x = 9 days

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