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      Question

      X can do half and Y can do one-third of a certain work in 5 and 10 days, respectively, Working together, in how many days will they be able to complete double of the work?

      A 16(1/2) Correct Answer Incorrect Answer
      B 7(1/2) Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 16 Correct Answer Incorrect Answer

      Solution

      X can do half the work in 5 days So, total in 10 days Y can do one-third of the work in 10 days So, total in 30 days LCM of 10 and 30 is 30 i.e total work Efficiency of X and Y = 30/10, 30/30  ⇒ 3, 1 Now, They will take 30/4 = 7.5 days to complete total work if they work together, So, for double the work it will take 15 days ∴ They will be able to complete double of the work in 15 days

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