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      Question

      15 men or 20 women can complete the work in 46 days.

      Find the time taken by 10 men and 25 women together to complete the work.
      A 20 days Correct Answer Incorrect Answer
      B 24 days Correct Answer Incorrect Answer
      C 28 days Correct Answer Incorrect Answer
      D 30 days Correct Answer Incorrect Answer

      Solution

      Let the efficiency of a man and a woman be 'M' units/day and 'W' units/day. Also, let the required number of days be 't' days Work done by 15 men = work done by 20 women Or, 15M = 20W So, (M:W) = (4:3) ATQ, (15 X 4x X 46) = {(4x X 10) + (3x X 25) } X t Or, 2760x = 115x X t So, 't' = 24 days

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