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      Question

      A boat takes 7 hours to cover 259 km upstream and 9

      hours to cover 477 km downstream. Find the time taken by the boat to cover 602 km upstream and 605 km downstream if speed of boat in still water is increased by 4 km/h and speed of stream is decreased by 2 km/h.
      A 27 hours Correct Answer Incorrect Answer
      B 21 hours Correct Answer Incorrect Answer
      C 25 hours Correct Answer Incorrect Answer
      D 22 hours Correct Answer Incorrect Answer
      E 20 hours Correct Answer Incorrect Answer

      Solution

      Upstream speed = 259/7 = 37 km/h Downstream speed = 477/9 = 53 km/h Speed of boat in still water = (37 + 53)/2 = 45 km/h ┬а Speed of stream = (53 тАУ 37)/2 = 8 km/h Increased speed of boat in still water = 45 + 4 = 49 km/h Decreased speed of stream = 8 тАУ 2 = 6 km/h Required time taken = 602/(49 тАУ 6) + 605/(49 + 6) = 14 + 11 = 25 hours

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