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The speed of a boat in still water is 2km/hr. If its speed upstream be 1km/hr then speed of the stream is

  • A.1.5km/hr
  • B.3km/hr
  • C.1km/hr
  • D.none

Answer: C

With \( b \) the still-water speed and \( r \) the stream's,

\[ \text{downstream} = b + r, \qquad \text{upstream} = b - r \]

\[ r = b - (b - r) = 2 - 1 = 1 \text{ km/hr} \]

The current slows the boat from 2 km/hr to 1 km/hr, so it must itself be 1 km/hr. Downstream the boat would manage \( 2 + 1 = 3 \) km/hr, which is why 3 appears as a distractor.

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