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      Question

      Time taken by A and B together to complete a work is 1

      day less than the time taken by B alone to complete the same work. With his half efficiency B can complete the work in 10 days. find the efficiency ratio of A to B.
      A 1:4 Correct Answer Incorrect Answer
      B 2:5 Correct Answer Incorrect Answer
      C 1:8 Correct Answer Incorrect Answer
      D 1:2 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      B's full efficiency: B completes the work in 5days (since with half efficiency, B takes 10days). A and B together: Time taken = 5−1 =4 days. Combined efficiency of A and B = 1/4 work units/day. B's efficiency = 1/5 work units/day. A's efficiency: Efficiency ratio (A:B): The efficiency ratio of A to B is 1:4 .

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