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      Question

      Working 6 hours a day, Rahul can complete a work in 25 days. How many hours a day should he work to complete the same work in 15 days?

      A 10 hrs Correct Answer Incorrect Answer
      B 16 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 Rahul be 'x' units per hour

      Therefore, total work = 6 × 25 × x = 150x units

      Let the time he should work to complete the work in 15 days be 'y' hours a day.

      ATQ;

      150x = 15 × y × x

      Or, y = 10

      Therefore, he should work for 10 hours a day.

      Alternate solution:

      Required time = (6 × 25) ÷ 15 = 10 hours

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