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      Question

      X and Y can complete a piece of work in 20 days. They

      worked for 10 days and left. Z completed the rest of the work in 10 days. Find how long Z would take to finish 60% of the same work alone.
      A 10.8 Correct Answer Incorrect Answer
      B 32.5 Correct Answer Incorrect Answer
      C 62.5 Correct Answer Incorrect Answer
      D 28.4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Fraction of Work done by X and Y = (10/20) = (1/2)

      Fraction of work done by Z = 1 - (1/2) = (1/2)

      So, number of days taken by Z alone to complete the entire work = 10 ÷ (1/2) = 20 days

      So, time taken by Z to complete 60% of the work = 20 × 0.60 = 12 days

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