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      Question

      15 men can finish a job in 24 days, while 36 women can do

      the same job in 20 days. How long will 1 man and 1 woman take to complete the work together?
      A 225 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
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

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

      So,15 Γ— 24 Γ— M = 36 Γ— 20 Γ— W

      Or, M:W = 720 : 720 = 5 : 3

      Let M = 5e and W = 3e

      Let the required time be 'T' days

      So, (5e + 3e) Γ— T = 15 Γ— 24 Γ— 5e

      Or,8T = 1800

      ∴ T = 1800 ÷ 8 = 225 days

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