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      Question

      Ramesh needs half the time that

      Suresh needs to complete a job. Suresh and Tarun together complete it in 27 days, whereas Ramesh and Tarun take 18 days. How many days will Ramesh and Suresh require together?
      A 20 days Correct Answer Incorrect Answer
      B 16 days Correct Answer Incorrect Answer
      C 18 days Correct Answer Incorrect Answer
      D 28 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total work be 54 units. {LCM (27 and 18)} Efficiency of Suresh + Tarun = 54 ÷ 27 = 2 units/day Efficiency of Ramesh + Tarun = 54 ÷ 18 = 3 units/day Let: Suresh = s, Tarun = t Ramesh = 2s So, (s + t) = 2 ……… (i) (2s + t) = 3 ……… (ii) Subtracting (i) from (ii): s = 1 Efficiency of Ramesh = 2 × 1 = 2 units/day Required time = 54 ÷ (1 + 2) = 18 days

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