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    Question

    If Riya takes three times the time that Mahi takes or four

    times the time that Neha takes to finish a task, and all three working together can complete it in 3 days, how much time will Mahi 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 Riya alone to finish the work = 12x

    Time taken by Mahi alone to finish the work = 4x

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

    Let total work = LCM of 12x, 4x, and 3x = 12x

    Part of work done by Riya, Mahi, and Neha alone in 1 day is 1 unit, 3 units, and 4 units respectively.

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

    12x / (1 + 3 + 4) = 3

    x = 1.5

    Time taken by Mahi alone to finish the work = 4x = 6 days

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