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      Question

      The ratio of the speed of a launch in still water to

      the speed of the stream is 8 : 1. If the speed of the launch is increased by 25%, it takes 5 hours to go 165 km downstream. Find the speed of the launch in still water.
      A 18 km/hr Correct Answer Incorrect Answer
      B 15 km/hr Correct Answer Incorrect Answer
      C 12 km/hr Correct Answer Incorrect Answer
      D 24 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let, the speed of the launch in still water and the speed of the stream is 8x km/hr and x km/hr. The speed of the launch in still water after increased = 8x * 125/100 = 10x km/hr So, downstream speed after increase = (10x + x) = 11x km/hr 11x = 165/5 11x = 33 x = 3 The speed of the launch in still water = 8 * 3 = 24 km/hr

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