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      Question

      The ratio of the speed of the boat in upstream to that

      of in downstream is 5:9, respectively. If the speed of the current is 7 km/h, then find the speed of the boat in still water.
      A 25.9 km/h Correct Answer Incorrect Answer
      B 30.5 km/h Correct Answer Incorrect Answer
      C 24.5 km/h Correct Answer Incorrect Answer
      D 33.5 km/h Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question: Let the speed of the boat in still water = x km/h Speed of the boat downstream = (x+7) km/h Speed of the boat upstream = (xβˆ’7) km/h ATQ, (xβˆ’7):(x+7)=5:9 9(xβˆ’7)=5(x+7) 9xβˆ’63=5x+35 9xβˆ’5x=35+63 4x=98 x=24.5 km/h

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