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    • Question

      A boat covers a total downstream distance of 180 km,

      split into two equal parts. The boat’s speeds in these two parts are 2a km/h and 4a km/h respectively. The speed of the stream is a km/h. If the total time taken by the boat is 15 hours, find the value of ‘a’.
      A 1.5 Correct Answer Incorrect Answer
      B 3.2 Correct Answer Incorrect Answer
      C 4.5 Correct Answer Incorrect Answer
      D 8.5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of the boat downstream = (2a + a) = 3a km/h and (4a + a) = 5a km/h respectively.

      According to the question,

      90/3a + 90/5a = 15

      30/a + 18/a = 15

      48/a = 15

      a = 3.2

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