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      Question

      The speed of a boat in still water and the speed of the

      stream are in the ratio of 5:2. If the boat's speed while moving downstream is 84 km/hr, how long will it take for the boat to cover a distance of 378 km upstream?
      A 12 hours Correct Answer Incorrect Answer
      B 8 hours Correct Answer Incorrect Answer
      C 16 hours Correct Answer Incorrect Answer
      D 10.5 hours Correct Answer Incorrect Answer

      Solution

      Let the speed of the boat in still water and the speed of the stream be '5x' km/hr and '2x' km/hr, respectively

      According to the question,

      5x + 2x = 84

      Or, 7x = 84

      Or, x = 12

      Upstream speed of the boat = 5x - 2x = 3x = 36 km/hr

      Required time taken = (378/36) = 10.5 hours

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