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      Question

      What is the speed of the stream? I. The boat

      covers a distance of 54 km in 3 hours while running downstream. II. The boat covers the same distance in 6 hours while running upstream.
      A If the question can be answered with the help of both the statements but not with the help of either statement itself Correct Answer Incorrect Answer
      B If the question cannot be answered even with the help of both the statements. Correct Answer Incorrect Answer
      C If the question can be answered with the help of statement II alone. Correct Answer Incorrect Answer
      D If the question can be answered with the help of statement I alone. Correct Answer Incorrect Answer
      E If the question can be answered with the help of either statement alone. Correct Answer Incorrect Answer

      Solution

      We know that speed = Distance/Time From statement I: Downstream speed = 54/3 = 18 km/hr Upstream speed = 54/6 = 9 km/hr Speed of stream = 1/2 × (Downstream - upstream speed) => 1/2 × (18 - 9) = 4.5 km/hr Therefore, both the statements are necessary to answer the question.

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