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A boat's upstream speed is 25% less than its downstream speed. Over 30 km it needs 1 hour more upstream than downstream. What is the speed of the stream?

Competition practiceBoats & Streams
  • A1.25 km/h
  • B2.5 km/h
  • C7.5 km/h
  • D1.5 km/h

Step-by-Step Solution

U = 0.75D. 30/(0.75D) − 30/D = 40/D − 30/D = 10/D = 1 ⇒ D = 10, U = 7.5. Stream = (10 − 7.5) ÷ 2 = 1.25 km/h.
Answer: A) 1.25 km/h

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