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      Question

      Sonia and Riya decided to complete a piece of work

      together. Sonia is capable of doing 9 units of work per day, whereas Riya can finish the complete task alone in 18 days. If the total work amounts to 108 units, how many days will they take working together?
      A 21/11 Correct Answer Incorrect Answer
      B 36/5 Correct Answer Incorrect Answer
      C 33/5 Correct Answer Incorrect Answer
      D 23/4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let, the time taken by Sonia and Riya to do the work be β€˜x’ days.

      Units of work done by Riya in a day = 108 / 18 = 6 units

      So, 108 / x = 9 + 6 = 15

      108 = 15x

      x = 108 / 15 or (36/5)

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