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      Question

      25 men can finish a work in 8 days by working 9 hours a

      day. How many more men are needed to finish the work in 10 days by working 6 hours a day?
      A 3 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      Let the efficiency of a man be 'x' units/day. Let number of extra men needed to finish the work be 'y'. ATQ; Total work = (25 + y) Γ— x Γ— 10 Γ— 6 = 25 Γ— x Γ— 8 Γ— 9 Or, 25 + y = 30 So, y = 30 βˆ’ 25 = 5 Therefore, the number of extra men required = y = 5

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