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      Question

      Aman and Rohan can finish a job alone in 12 days and 30

      days respectively. Aman began the task alone. After how many days should Rohan join him so that the entire work is done in 10 days?
      A 2 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 60 units (LCM of 12 and 30)

      Efficiency of Aman = (60 / 12) = 5 units/day

      Efficiency of Rohan = (60 / 30) = 2 units/day

      Let the time after which Rohan joins be 'n' days.

      So, 5n + (5 + 2) × (10 - n) = 60

      ⇒ 5n + 70 - 7n = 60

      ⇒ 2n = 10

      ⇒ n = 5

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