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      Question

      If Arjun can complete his work in 28 days by working 4

      hours a day, how many hours a day should he work to finish the same work in 16 days?
      A 10 hrs Correct Answer Incorrect Answer
      B 7 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 14 hrs Correct Answer Incorrect Answer

      Solution

      ATQ,

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

      Therefore, total work = 4 × 28 × x = 112x units

      Let the time he should work to complete the work in 16 days be 'y' hours a day.

      ATQ;

      112x = 16 × y × x

      Or, y = 7

      Therefore, he should work for 7 hours a day.

      Alternate solution:

      Required time = (4 × 28) ÷ 16 = 7 hours

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