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      Question

      The speed of a car is 30% more than that of a bike. Both of them start from a same point. After travelling for 7 hours, the speed of the bike is increased by 35%. After 9 hours from starting, the car was 50 km ahead of the bike. Find the initial speed of the bike.

      A 22 km/hr Correct Answer Incorrect Answer
      B 21 km/hr Correct Answer Incorrect Answer
      C 25 km/hr Correct Answer Incorrect Answer
      D 20 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the initial speed of the bike be โ€˜xโ€™ km/hr Therefore, speed of the car = 1.30x km/hr According to the question, 9 ร— 1.30x โ€“ (7x + 2 ร— 1.35x) = 50 => 11.7x โ€“ 9.7x = 50 => x = 50/2 = 25 km/hr

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