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      Question

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

      of in downstream is 7:10, respectively. If the speed of the current is 12 km/h, then find the speed of the boat in still water.
      A 60 km/h Correct Answer Incorrect Answer
      B 68 km/h Correct Answer Incorrect Answer
      C 55 km/h Correct Answer Incorrect Answer
      D 45 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+12) km/h Speed of the boat upstream = (xβˆ’12) km/h According to the question, (xβˆ’12):(x+12)=7:10 10(xβˆ’12)=7(x+12) 10xβˆ’120=7x+84 10xβˆ’7x=84+120 3x=204 x=68 km/h

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