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      Question

      A boat takes a total of 6 hours to go 24 km downstream

      and return 24 km upstream. The stream speed is 3 km/h. Find the speed of the boat in still water.
      A 12 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 23 Correct Answer Incorrect Answer

      Solution

      Let speed in still water = b km/h. Then 24/(b + 3) + 24/(b − 3) = 6. ⇒ 48b = 6b² − 54 ⇒ b² − 8b − 9 = 0 ⇒ b = 9.

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