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Question

A boat covers a certain distance downstream in  1 hour,  while it comes back in `1 1.2` hours. If the speed of the stream be 3 kmph . what is the speed of the boat in still water ?


Options:
A .  12 kmph
B .  13 kmph
C .  14 kmph
D .  15 kmph
E .  None of these
Answer: Option D

Let he speed if the boat in still water be `x` kmph, Then,

Speed downstream = `(x + 3)` kmph ,

Speed upstream = `(x - 3)` kmph

`:.`       `(x + 3) xx 1 = (x -3) xx 3/2`

`hArr   2x + 6 = 3x - 9        hArr  x` = 15 kmph.



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