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      Question

      The speed of a car is 23% more than that of a bike. Both

      of them start from a same point. After travelling for 4 hours, the speed of the bike is increased by 36%. After 6 hours from starting, the car was 33 km ahead of the bike. Find the initial speed of the bike.
      A 54 km/hr Correct Answer Incorrect Answer
      B 53 km/hr Correct Answer Incorrect Answer
      C 52 km/hr Correct Answer Incorrect Answer
      D 50 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the initial speed of the bike be ‘x’ km/hr Therefore, speed of the car = 1.23x km/hr According to the question, 6 × 1.23x – (4x + 2 × 1.36x) = 33 => 7.38x – 6.72x = 33 => x = 33/0.66 = 50 km/hr

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