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      Question

      A motor boat covers a certain distance downstream in a

      river in 3 hours. It covers the same distance upstream in 3 hours and 30 minutes. If the speed of water is 1.25 km/h, then the speed of the boat in still water is:
      A 16.25 km/hr Correct Answer Incorrect Answer
      B 27 km/hr Correct Answer Incorrect Answer
      C 32.5 km/hr Correct Answer Incorrect Answer
      D 31.5 km/hr Correct Answer Incorrect Answer
      E 13.5 km/hr Correct Answer Incorrect Answer

      Solution

      Let the speed of boat in still water be x km/hr and the distance be y km. Rate downstream = (x + 1.25) km/hr Rate upstream = (x – 1.25) km/hr According to the question, y/(x + 1.25) = 3 --- (i) y/(x – 1.25) = 7/2 --- (ii) On dividing equation (i) by (ii), (x – 1.25)/(x + 1.25) = 3/(7/2) = 6/7 7x – 8.75 = 6x + 7.5 x = 8.75 + 7.5 = 16.25 kmph

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