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      Question

      If Rina can complete a project in 36 days by working 9

      hours a day, how many hours per day should she work to complete the project in 18 days?
      A 15 hrs Correct Answer Incorrect Answer
      B 18 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 24 hrs Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of Rina be 'x' units per hour

      Therefore, total work = 9 Γ— 36 Γ— x = 324x units

      Let the time she should work to complete the work in 18 days be 'y' hours a day.

      ATQ;

      324x = 18 Γ— y Γ— x

      Or, y = 18

      Therefore, she should work for 18 hours a day.

      Alternate solution:

      Required time = (9 Γ— 36) Γ· 18 = 18 hours

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