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      Question

      A man can row 32 km/hr in still water. It takes him

      thrice as long to row up as to row down the river. Find the rate of the current.
      A 12 kmph Correct Answer Incorrect Answer
      B 20 kmph Correct Answer Incorrect Answer
      C 16 kmph Correct Answer Incorrect Answer
      D 14 kmph Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let man’s rate upstream be x kmph. Then his rate downstream = 3x kmph. ∴Rate in still water =1/2 (3x+x)kmph=2x kmph ⇒32 = 2x⇒x = 16⇒3x=48 ∴ Rate of the stream =1/2 (48-16)kmph=16 kmph Alternate Method: Let U = speed of man in still water & V = speed of water So here N = time of upstream/ time of downstream = 3 So U/V = (N+1)/(N-1) = (3+1)/(3-1) = 4/2 =2 V = 32/2 = 16kmph

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