Boats & Streams · Question 30 · Hard

Boats & Streams question 30

A boat's speed in still water is 20 km/h. It takes 30 minutes longer to travel 24 km upstream than to travel 24 km downstream. What is the speed of the stream?

  1. 6 km/h
  2. 4 km/h
  3. 2 km/h
  4. 5 km/h
Answer and explanation

Answer: B. 4 km/h

Explanation: 24/(20 − s) − 24/(20 + s) = 1/2 gives s² + 96s − 400 = 0, so s = 4 km/h. Check: 24/16 − 24/24 = 1.5 − 1 = 0.5 hour.

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