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      Question

      Time taken by boat to cover 90 km upstream is one-fourth

      of the time taken by boat to cover 480 km downstream. If speed of stream is 3 km/h, then find the speed (in km/h) of boat in still water.
      A 21 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 27 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      Let the speed of boat in still water be 'v' km/h 90 ÷ (v - 3) = (1/4) x [480 ÷ (v + 3)] Or, 90 ÷ (v - 3) = 120 ÷ (v + 3) Or, 3 ÷ (v - 3) = 4 ÷ (v + 3) Or, 3 x (v + 3) = 4 x (v - 3) Or, 3v + 9 = 4v - 12 Or, v = 21

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