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      Question

      A boat can travel 30 km downstream in 2 hours and 18 km upstream in 3 hours. How much time (in hours) will it take to travel 21 km in still water?

      A 5 hrs Correct Answer Incorrect Answer
      B 2 hrs Correct Answer Incorrect Answer
      C 3 hrs Correct Answer Incorrect Answer
      D 7 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Downstream speed = 30/2 = 15 km/h Upstream speed = 18/3 = 6 km/h Let boat speed in still water = b, stream speed = s. b + s = 15 b βˆ’ s = 6 Add: 2b = 21 β†’ b = 10.5 km/h Time in still water for 21 km: = 21 / 10.5 = 2 hours.

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