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      Question

      The downstream speed of a boat is

      22 km/hr, and its upstream speed is 14 km/hr. Determine the time required for the boat to travel a distance of 162 km in still water.
      A 24 hrs Correct Answer Incorrect Answer
      B 9 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 5 hrs Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let speed of boat in still water = ‘x’ km/hr And, speed of stream = ‘y’ km/hr ATQ, (x + y) = 22 ------- (I) And (x – y) = 14 -------- (II) By adding equation (I) and equation (II), we get 2x = 22 + 14 = 36 So, x = 18 so, speed of the boat in still water = 18 km/hr Required time = (162/18) = 9 hours

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