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A man can row at a speed of x km/h in still water. If in a stream which is flowing at a speed of y km/h it takes him z hours to row to a place and back, then what is the distance between the two places?
  • a)
    z(x2 - y2)/2y
  • b)
    z(x2 - y2)/2x
  • c)
    (x2 - y2)/2zx
  • d)
    z(x2 - y2)/x
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man can row at a speed of x km/h in still water. If in a stream whic...
Let the distance between the two places be D km
Time taken = Distance/Speed
Speed in upstream = Speed of boat in still water - Speed of the stream = x - y
Speed in downstream = Speed of the boat in still water + Speed of the stream = x + y
Total time taken = Time taken upstream + Time taken downstream
z = D/ (x - y) + D/ (x + y)
z = [D(x + y) + D(x - y)] / [(x - y) (x + y)]
z = 2Dx / (x2 - y2) [∵ (a - b) (a + b) = (a2 - b2)]
∴ D = z(x2 - y2)/2x
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A man can row at a speed of x km/h in still water. If in a stream which is flowing at a speed of y km/h it takes him z hours to row to a place and back, then what is the distance between the two places?a)z(x2- y2)/2yb)z(x2- y2)/2xc)(x2- y2)/2zxd)z(x2- y2)/xCorrect answer is option 'B'. Can you explain this answer?
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