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A boat's upstream and downstream speeds are in the ratio 2 : 3. If the current were 1 km/h faster, the ratio would become 1 : 2. What is the boat's speed in still water?

Competition practiceBoats & Streams
  • A7.5 km/h
  • B5 km/h
  • C6 km/h
  • D9 km/h

Step-by-Step Solution

(b − s)/(b + s) = 2/3 ⇒ b = 5s. (b − s − 1)/(b + s + 1) = 1/2 ⇒ b = 3s + 3. So 5s = 3s + 3 ⇒ s = 1.5, b = 7.5 km/h.
Answer: A) 7.5 km/h

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