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      Question

      35% of the work done by Sunil in 8 days is equal to 70% of

      the work done by Raj in 3 days. If Sunil alone can do the work in 24 days, find the number of days Raj would need to finish the work.
      A 45 days Correct Answer Incorrect Answer
      B 40 days Correct Answer Incorrect Answer
      C 20 days Correct Answer Incorrect Answer
      D 28 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of Sunil and Raj be 'x' units/day and 'y' units/day respectively.

      So, 0.35 × x × 8 = 0.7 × y × 3

      So, x = (21/8) × y

      Total work = 24 × x = 24x units

      Time taken by Raj to complete the work:

      = (24x / y) = {24 × (21/8) y} ÷ y = 63 days

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