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      Question

      The speed of a car is 20% more than that of a bike. Both

      of them start from a same point. After travelling for 5 hours, the speed of the bike is increased by 20%. After 7 hours from starting, the car was 78 km ahead of the bike. Find the initial speed of the bike.
      A 60 km/hr Correct Answer Incorrect Answer
      B 52 km/hr Correct Answer Incorrect Answer
      C 78 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 = 1.20x km/hr According to the question, 7 x 1.20x - (5x + 2 x 1.20x) = 78 =gt; 8.4x - 7.4x = 78 =gt; x = 78/1 = 78 km/hr

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