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      Question

      If Priya takes five times the time that Kabir takes or six

      times the time that Aarav takes to finish a task, and all three working together can complete it in 5 days, how much time will Kabir 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 Priya alone to finish the work = 30x

      Time taken by Kabir alone to finish the work = 6x

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

      Let total work = LCM of 30x, 6x, and 5x = 30x

      Part of work done by Priya, Kabir, and Aarav alone in 1 day is 1 unit, 5 units, and 6 units respectively.

      Total time taken to finish the task by all the 3 persons together = 5

      30x / (1 + 5 + 6) = 5

      x = 1

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

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