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      Question

      20 men can do a task in 18 days while 30 women can

      complete the same task in 24 days. In how many days will 1 man and 1 woman complete it together?
      A 120 days Correct Answer Incorrect Answer
      B 150 days Correct Answer Incorrect Answer
      C 100 days Correct Answer Incorrect Answer
      D 125 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of a man and a woman be 'M' and 'W' units/day, respectively.

      So, 20 × 18 × M = 30 × 24 × W

      Or, M:W = 360 : 720 = 1 : 2

      Let M = 1e and W = 2e

      Let the required time be 'T' days

      So, (1e + 2e) × T = 20 × 18 × 1e

      Or, 3T = 360

      ∴ T = 360 ÷ 3 = 120 days

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