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      Question

      25% of the work done by Arjun in 6 days equals 50% of

      the work done by Karan in 3 days. If Arjun alone finishes the full work in 24 days, find the time Karan would take to complete the entire work alone.
      A 42 days Correct Answer Incorrect Answer
      B 28 days Correct Answer Incorrect Answer
      C 58 days Correct Answer Incorrect Answer
      D 72 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of Arjun and Karan be x units/day and y units/day respectively.

      So,

      0.25 × x × 6 = 0.5 × y × 3

      ⇒ x = (3/1) × y

      Total work = 24 × x = 24x units

      Time taken by Karan = Total work / y = (24x) / y = (24 × 3y) / y = 72 days

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