Question

    If Ankit takes four times the time that Ravi takes or five

    times the time that Sandeep takes to finish a task, and all three working together can complete it in four days, how much time will Ravi 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 Ankit alone to finish the work = 20x

    Time taken by Ravi alone to finish the work = 5x

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

    Let total work = LCM of 20x, 5x, and 4x = 20x

    Part of work done by Ankit, Ravi, and Sandeep alone in 1 day is 1 unit, 4 units, and 5 units respectively.

    Total time taken to finish the task by all the 3 persons together = 4

    20x / (1 + 4 + 5) = 4

    x = 2

    Time taken by Ravi alone to finish the work = 5x = 10 days

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