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      Question

      Alex and Ben can complete a job individually in 14 days and

      21 days, respectively. If they take turns to work one day each, beginning with Alex, how long will it take to complete the entire task?
      A 12.4 days Correct Answer Incorrect Answer
      B 16.8 days Correct Answer Incorrect Answer
      C 26.4 days Correct Answer Incorrect Answer
      D 32.4 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total work = 42 units (LCM of 14 and 21)

      AlexтАЩs efficiency = (42 ├╖ 14) = 3 units/day

      BenтАЩs efficiency = (42 ├╖ 21) = 2 units/day

      Work in 2 days = 3 + 2 = 5 units

      Time = (42 ├╖ 5) ├Ч 2 = 16.8 days

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