Multiple choice

A boat runs at 22 km per hour along the stream and 10 km per hour against the stream. Find the ratio of speed of the boat in still water to that of the speed of the stream.

  1. $8: 3$
  2. $3: 5$
  3. $5: 3$
  4. $3: 8$
  5. $None of these$
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A Correct answer
Explanation

Let boat speed in still water = b, stream speed = s. Downstream speed = b + s = 22. Upstream speed = b - s = 10. Adding: 2b = 32, so b = 16 km/h. Subtracting: 2s = 12, so s = 6 km/h. Ratio b:s = 16:6 = 8:3.

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