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      Question

      15 men can finish a work in 16 days by working 6 hours a day. How many more men are needed to finish the work in 10 days by working 8 hours a day?

      A 2 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 5 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 = (15 + y) × x × 10 × 8 = 15 × x × 16 × 6 Or, 15 + y = 18 So, y = 18 − 15 = 3 Therefore, the number of extra men required = y = 3

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