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  • Question
  • A man can row 9 km/h in still water. It takes him twice as long as to row down. Find the rate of stream of the river?


  • Options
  • A. 3 1⁄3 Kmph
  • B. 3 1⁄9Kmph
  • C. 4 2⁄3 Kmph
  • D. 4 1⁄3 Kmph

  • Correct Answer
  • 4 2⁄3 Kmph 

    Explanation
    Let man’s rate upstream be x km/hr. Then his rate downstream is 3 x km/hr Given: Speed in still water = 9 (1/3) = 28/3 km/hr i.e, ½ (a+b) = 28/3 km/hr ½ (x+3x) = 28/3 2x = 28/3 x = 28/ 2 x 3 = 14/3 km/hr rate upstream b = 14/3 km/hr and rate downstream a = 14/3 x 3 = 14 km/hr speed of the current = ½ (a-b) = ½ (14 – 14/3) = ½ (42-14/3) = 28/6 = 4 (2/3) km/hr

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