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      Question

      Varun and Arnav can finish a work in 28 days and 56 days

      respectively when working alone. Varun starts first. In how many days should Arnav join him so that the entire job finishes in 21 days?
      A 6 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 56 units (LCM of 28 and 56)

      Efficiency of Varun = (56 / 28) = 2 units/day

      Efficiency of Arnav = (56 / 56) = 1 unit/day

      Let Arnav join after 'n' days.

      So, 2n + (2 + 1) × (21 - n) = 56

      ⇒ 2n + 63 - 3n = 56

      ⇒ n = 7

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