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      Question

      A boat can travel 36 km downstream in 2 hours and 24 km

      upstream in 3 hours. Find the speed of the boat in still water and the speed of the stream.
      A 13 km/h and 15 km/h Correct Answer Incorrect Answer
      B 10 km/h and 5 km/h Correct Answer Incorrect Answer
      C 13 km/h and 5 km/h Correct Answer Incorrect Answer
      D 23 km/h and 25 km/h Correct Answer Incorrect Answer

      Solution

      Downstream speed = 36/2 = 18 km/h Upstream speed = 24/3 = 8 km/h Let speed of boat in still water = u, speed of stream = v. u + v = 18 u βˆ’ v = 8 Add: 2u = 26 β‡’ u = 13 km/h Then v = 18 βˆ’ 13 = 5 km/h Answer: Boat speed in still water = 13 km/h, stream speed = 5 km/h.

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