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      Question

      50% of the work done by Meena in 2 days is equal to 25% of

      the work done by Lata in 5 days. If Meena can complete the job alone in 10 days, then how long will Lata take to complete the same task?
      A 45 days Correct Answer Incorrect Answer
      B 40 days Correct Answer Incorrect Answer
      C 25 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 Meena and Lata be 'x' units/day and 'y' units/day respectively.

      So, 0.5 Γ— x Γ— 2 = 0.25 Γ— y Γ— 5

      So, x = (5/2) Γ— y

      Total work = 10 Γ— x = 10x units

      Time taken by Lata to complete the work:

      = (10x / y) = {10 Γ— (5/2) y} Γ· y = 25 days

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