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A motorboat's upstream speed is two-thirds of its downstream speed, and its speed in still water is 20 km/h. How long will 48 km upstream take?

Competition practiceBoats & Streams
  • A3 hours
  • B2 hours
  • C2.4 hours
  • D4 hours

Step-by-Step Solution

20 − s = (2/3)(20 + s) ⇒ 60 − 3s = 40 + 2s ⇒ s = 4. Upstream = 16 km/h. Time = 48 ÷ 16 = 3 hours.
Answer: A) 3 hours

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