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      Question

      A Motorboat takes 24 hours for travelling downstream

      from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?
      A 180 km Correct Answer Incorrect Answer
      B 240 km Correct Answer Incorrect Answer
      C 145.5 km Correct Answer Incorrect Answer
      D 266.66 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total distance AB be D km BC = 1/3rd of D Time taken to cover AB + Time taken to cover BC = 24 hours D/((30+15)) + D/(3(30-15)) Β = 24 D/45 + D/45 = 24 D = 540km ∴ Distance between A and B = 540 km And Distance Between C and B = 540 Γ— 1/3 = 180km.

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